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Relevant bibliographies by topics / Ideal sheaves

Academic literature on the topic 'Ideal sheaves'

Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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Journal articles on the topic "Ideal sheaves"

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Guan, Qi’an, Zhenqian Li, and Xiangyu Zhou. "Stability of Multiplier Ideal Sheaves." Chinese Annals of Mathematics, Series B 43, no. 5 (September 2022): 819–32. http://dx.doi.org/10.1007/s11401-022-0360-3.

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Cutkosky, Steven Dale, Lawrence Ein, and Robert Lazarsfeld. "Positivity and complexity of ideal sheaves." Mathematische Annalen 321, no. 2 (October 1, 2001): 213–34. http://dx.doi.org/10.1007/s002080100220.

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WESSLER, MARKUS. "MULTIPLIER IDEAL SHEAVES ON FIBRED PRODUCTS OF CERTAIN SINGULAR VARIETIES." International Journal of Mathematics 17, no. 04 (April 2006): 393–99. http://dx.doi.org/10.1142/s0129167x0600359x.

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In [3], we discussed the compatibility of multiplier ideal sheaves with fibred products. Multiplier ideal sheaves on singular varieties generalize in a natural way the ℚ-divisors on nonsingular varieties. However, there was one central result in [3] which we proved only for nonsingular varieties. In this paper we extend this to a certain class of singular varieties.

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Fujino, Osamu. "Theory of non-lc ideal sheaves: Basic properties." Kyoto Journal of Mathematics 50, no. 2 (2010): 225–45. http://dx.doi.org/10.1215/0023608x-2009-011.

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Popovici, Dan. "Effective local finite generation of multiplier ideal sheaves." Annales de l’institut Fourier 60, no. 5 (2010): 1561–94. http://dx.doi.org/10.5802/aif.2565.

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Phong, D. H., Natasa Sesum, and Jacob Sturm. "Multiplier ideal sheaves and the Kähler-Ricci flow." Communications in Analysis and Geometry 15, no. 3 (2007): 613–32. http://dx.doi.org/10.4310/cag.2007.v15.n3.a7.

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Niu, Wenbo. "Some results on asymptotic regularity of ideal sheaves." Journal of Algebra 377 (March 2013): 157–72. http://dx.doi.org/10.1016/j.jalgebra.2012.11.042.

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Guenancia, Henri. "Toric plurisubharmonic functions and analytic adjoint ideal sheaves." Mathematische Zeitschrift 271, no. 3-4 (June 4, 2011): 1011–35. http://dx.doi.org/10.1007/s00209-011-0900-0.

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Siu, Yum-Tong. "Multiplier ideal sheaves in complex and algebraic geometry." Science in China Series A: Mathematics 48, S1 (December 2005): 1–31. http://dx.doi.org/10.1007/bf02884693.

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WESSLER, MARKUS. "A SHORT NOTE ON MULTIPLIER IDEAL SHEAVES ON SINGULAR VARIETIES." International Journal of Mathematics 14, no. 04 (June 2003): 361–69. http://dx.doi.org/10.1142/s0129167x03001855.

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Books on the topic "Ideal sheaves"

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Session, Ring Theory. Ring theory and its applications: Ring Theory Session in honor of T.Y. Lam on his 70th birthday at the 31st Ohio State-Denison Mathematics Conference, May 25-27, 2012, The Ohio State University, Columbus, OH. Edited by Lam, T. Y. (Tsit-Yuen), 1942- honouree, Huynh, Dinh Van, 1947- editor of compilation, and Ohio State-Denison Mathematics Conference. Providence, Rhode Island: American Mathematical Society, 2014.

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Trends in number theory: Fifth Spanish meeting on number theory, July 8-12, 2013, Universidad de Sevilla, Sevilla, Spain. Providence, Rhode Island: American Mathematical Society, 2015.

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Gaitsgory, Dennis, and Jacob Lurie. Weil's Conjecture for Function Fields. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691182148.001.0001.

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A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil's conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil's conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting ℓ-adic sheaves. Using this theory, the authors articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors. Using a version of the Grothendieck–Lefschetz trace formula, the book shows that this product formula implies Weil's conjecture. The proof of the product formula will appear in a sequel volume.

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Dino, Nelson, Baharudin Arus, Lokman Abdul Samad, and Jul-Amin Ampang. Suluk Ukkil on the Barong Expressions, motifs and meanings. UMS Press, 2022. http://dx.doi.org/10.51200/sulukukkilnelsonums2021.

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With its origin dating back to as early as the 500 BC, the ukkil forms part of a centuries-old woodcarving art and tradition of the Suluk, one of the many indigenous ethnic groups of Nusantara (Southeast Asia). Suluk ukkil bears striking resemblance to the Malay ukir, both featuring similar patterns and motifs. The ukkil is often used to decorate jewellery, boats, houses, grave markers, and mosques. It is also used to decorate the hilts and sheaths of bladed weapons such as the barung. The barung refers to the thick, leaf-shaped sword of the Suluk. A barung with beautifully carved hilt and sheath, especially those using expensive wood, is considered high value and usually reserved for Suluk aristocrats. This book narrates the expressions, motifs and meanings behind ukkil carved on the barung. It is based on the results of a two-year field research conducted in different districts of Sabah. It presents data gathered through various interviews with owners, elders, and subject-matter experts. It also presents data from direct observations of heirloom barung that are still found in the hands of a few Suluk and individuals from other indigenous ethnic groups. It presents new insights from analysis made using the Theory of Iconology, a framework of analyzing art popularized by German art historian Erwin Panofsky. The predominant themes of ukkil found on ancient barung in Sabah are Islamic; zoomorphic such as birds, lizards, snakes, and squids; plantomorphic such as vines, flowers, and leaves; and cultural such as those depicting local myths, culture, values and traditions of the Suluk. Each of these images and themes represent realities that shaped the daily lives of the Suluk from the past until today, including the wind, the ocean waves and sea currents, all of which are essential for travel and navigation. They also depict concepts, beliefs and practices important to the Suluk such as freedom, livelihood, aristocracy, harmony within the community, leadership, spirituality, and Islamic principles. The Suluk are a sea-faring people who have a deep relationship with their immediate environment, especially the sea. Suluk carvers draw inspiration from nature, the environment around them, their local culture, their religious practices, and their own values and ideals in life. Both the ukkil and the barung are an embodiment of their rich past, their livelihood, creativity, their faith, their principles and their values in life. Sadly, the practice of ukkil-carving is fast declining nowadays, with only very few practitioners left and so few individuals interested in learning about it. The barung too, where the ukkil is often carved on, is no longer being produced in large numbers. As the ukkil, like all forms of art, constitute an integral part of a nation’s culture and identity, it is important for it to be understood, preserved, and protected. This book provides fresh knowledge and insights that will help the Suluk and other indigenous tribes of Malaysia and Nusantara in the understanding and preservation of the ukkil as an essential aspect of their country’s or their region’s culture and heritage. This book offers historical background that will help explain the identity of the Suluk as a culturally and artistically advanced people with deep interconnection with other indigenous ethnic groups in Malaysia and the rest of Nusantara as early as the pre-colonial period. Knowledge about the ukkil can help people connect and correct their thoughts about the Suluk while at the same time promote cultural awareness and diversity among Malaysians and other people in Southeast Asia. This book will hopefully pave the way for more research to be done on the arts and culture, not just of the Suluk but also of other indigenous ethnic groups in the region as well. That knowledge will serve as a medium for keeping harmony and cultural links among each and every Malaysian and Nusantaran.

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Book chapters on the topic "Ideal sheaves"

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Lazarsfeld, Robert. "Multiplier Ideal Sheaves." In Positivity in Algebraic Geometry II, 139–231. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18810-7_5.

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Nadel, Alan Michael. "The Behavior of Multiplier Ideal Sheaves under Morphisms." In Complex Analysis, 205–22. Wiesbaden: Vieweg+Teubner Verlag, 1991. http://dx.doi.org/10.1007/978-3-322-86856-5_32.

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Vojta, Paul. "Multiplier ideal sheaves, Nevanlinna theory, and Diophantine approximation." In Number Theory, Analysis and Geometry, 647–58. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4614-1260-1_28.

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Matsumura, Shin-ichi. "Injectivity Theorems with Multiplier Ideal Sheaves and Their Applications." In Complex Analysis and Geometry, 241–55. Tokyo: Springer Japan, 2015. http://dx.doi.org/10.1007/978-4-431-55744-9_18.

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"Multiplier ideal sheaves." In Classification of Higher Dimensional Algebraic Varieties, 67–78. Basel: Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0290-7_6.

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Siu, Yum-Tong. "Very ampleness part of Fujita’s conjecture and multiplier ideal sheaves of Kohn and Nadel." In Complex Analysis and Geometry, edited by Jeffery D. McNeal. Berlin, Boston: De Gruyter, 2001. http://dx.doi.org/10.1515/9783110867817-011.

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Scholze, Peter, and Jared Weinstein. "Diamonds." In Berkeley Lectures on p-adic Geometry, 56–63. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691202082.003.0008.

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This chapter investigates the notion of a diamond. The idea is that there should be a functor which “forgets the structure morphism to Zp.” The desired quotient in the example provided in the chapter exists in a category of sheaves on the site of perfectoid spaces with pro-étale covers. The chapter then defines pro-étale morphisms between perfectoid spaces. A morphism of perfectoid spaces is pro-étale if it is locally (on the source and target) affinoid pro-étale. The intuitive definition of diamonds involved the tilting functor in case of perfectoid spaces of characteristic 0. For this reason, diamonds are defined as certain pro-étale sheaves on the category of perfectoid spaces of characteristic p.

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Conference papers on the topic "Ideal sheaves"

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Shi, C., L. Manuel, M. A. Tognarelli, and T. Botros. "On the Vortex-Induced Vibration Response of a Model Riser and Location of Sensors for Fatigue Damage Prediction." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20991.

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This study is concerned with vortex-induced vibration (VIV) of deepwater marine risers. Riser response measurements from model tests on a densely instrumented long, flexible riser in uniform and sheared currents offer an almost ideal set-up for our work. Our objectives are two-fold: (i) we use the measured data to describe complexities inherent in riser motions accompanying VIV; and (ii) we discuss how such data sets (and even less spatially dense monitoring) can be used effectively in predicting fatigue damage rates which is of critical interest for deepwater risers. First, we use mathematical tools including Hilbert and wavelet transforms to estimate instantaneous amplitudes and phases of cross-flow (CF) and in-line (IL) displacements for the model riser as well as scalograms to understand time-frequency characteristics of the response; this work confirms that the motion of a long flexible cylinder is far more complex than that of a rigid cylinder, and that non-stationary characteristics, higher harmonics, and traveling waves are evident in the riser response. Second, a well-established empirical procedure, which we refer to as Weighted Waveform Analysis (WWA), is employed to estimate the fatigue damage rate at various locations along the length of the riser from strain measurements at only eight sensors. By iterating over numerous different combinations of these eight strain sensors as inputs (from among all the twenty-four available locations on the riser), optimal locations for the eight sensors on the riser are identified by cross-validation, whereby predicted strains and fatigue damage rates at locations of instrumented sensors are compared with strains and fatigue damage rates based on actual recorded measurements there. We find that, if properly placed, as few as eight sensors can provide reasonably accurate estimates of the fatigue damage rate over the entire riser length. Finally, we demonstrate how more accurate fatigue damage prediction can result when non-stationary response characteristics are considered and a modified WWA method (that more effectively accounts for traveling waves than the WWA method alone does) is employed.

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Agista, Madhan Nur, Mahmoud Khalifeh, and Arild Saasen. "In-Depth Rheological Evaluation of Gas Tight Cement for Shallow Gas Application." In SPE Asia Pacific Oil & Gas Conference and Exhibition. SPE, 2022. http://dx.doi.org/10.2118/210705-ms.

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Abstract Short-term gas migration during the cementing process has been a challenge in the oil and gas industry. During the curing process, the cement slurry will slowly lose its hydrostatic pressure allowing gas from the formation to enter the annulus. The ideal cement should generate gel structure rapidly after the pumping is finished to hold gas from entering the slurry. Therefore, the rheological properties of cement play a key role in designing reliable gas tight cement. Sets of rheological evaluations were performed on four different zonal isolation materials (neat G cement, geopolymer, gas tight cement, and rapid hardening cement). The cement samples used in the evaluation are industrially used for cementing jobs in the North Sea. The flow rotation and oscillation test were executed at 25°C by using a rheometer. The flow rotation test was performed initially and followed by the oscillation test. In the flow rotation test, the slurry was pre-sheared at 100 1/s for 60 sec, continued ramp-up (0.01-511 1/s) and ramp-down (511-0.01 1/s). The hysteresis area between ramp-up and ramp-down shows the degree of thixotropy of each material. Afterward, an amplitude sweep test was performed at a constant frequency of 10 rad/sec under oscillation movement. The test showed the behavior of materials under a deformation phase. The set of tests measured the storage modulus (G′) and loss modulus (G″) at elevated strain. It also shows the elasticity of the material and its internal strength which could be important parameters for handling the gas invasion. Of four different types of cementitious material, the commonly used gas tight cement had the highest thixotropy and good elasticity compared to other cementitious materials which could explain how it has been widely used for shallow gas cementing. This paper provides an in-depth rheological evaluation of gas tight cementitious material to better understand the importance of rheological parameters for shallow gas and water bearing zones.

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Reports on the topic "Ideal sheaves"

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Beklemishev, A. D. Nonlinear saturation of ideal interchange modes in a sheared magnetic field. Office of Scientific and Technical Information (OSTI), September 1990. http://dx.doi.org/10.2172/6598946.

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