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Relevant bibliographies by topics / Hilbert strata

Academic literature on the topic 'Hilbert strata'

Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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Journal articles on the topic "Hilbert strata"

1

Yu, Chia-Fu, Ching-Li Chai, and Frans Oort. "Stratifying Lie Strata of Hilbert Modular Varieties." Taiwanese Journal of Mathematics 24, no. 6 (December 2020): 1307–52. http://dx.doi.org/10.11650/tjm/200305.

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2

Fumasoli, Stefan. "Hilbert scheme strata defined by bounding cohomology." Journal of Algebra 315, no. 2 (September 2007): 566–87. http://dx.doi.org/10.1016/j.jalgebra.2007.04.016.

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3

Erman, Daniel. "Murphy’s law for Hilbert function strata in the Hilbert scheme of points." Mathematical Research Letters 19, no. 6 (2012): 1277–81. http://dx.doi.org/10.4310/mrl.2012.v19.n6.a8.

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4

Lederer, Mathias. "Gröbner strata in the Hilbert scheme of points." Journal of Commutative Algebra 3, no. 3 (September 2011): 349–404. http://dx.doi.org/10.1216/jca-2011-3-3-349.

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5

Mall, Daniel. "Connectedness of Hilbert function strata and other connectedness results." Journal of Pure and Applied Algebra 150, no. 2 (June 2000): 175–205. http://dx.doi.org/10.1016/s0022-4049(99)00068-7.

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6

Göttsche, Lothar. "Betti numbers for the hilbert function strata of the punctual hilbert scheme in two variables." Manuscripta Mathematica 66, no. 1 (December 1990): 253–59. http://dx.doi.org/10.1007/bf02568495.

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7

Ran, Ziv. "Incidence stratifications on Hilbert schemes of smooth surfaces, and an application to Poisson structures." International Journal of Mathematics 27, no. 01 (January 2016): 1650006. http://dx.doi.org/10.1142/s0129167x16500063.

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Given a smooth curve on a smooth surface, the Hilbert scheme of points on the surface is stratified according to the length of the intersection with the curve. The strata are highly singular. We show that this stratification admits a natural log-resolution, namely the stratified blowup. As a consequence, the induced Poisson structure on the Hilbert scheme of a Poisson surface has unobstructed deformations.

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8

Lederer, Mathias. "Components of Gröbner strata in the Hilbert scheme of points." Proceedings of the London Mathematical Society 108, no. 1 (July 12, 2013): 187–224. http://dx.doi.org/10.1112/plms/pdt018.

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9

Shende, Vivek. "Hilbert schemes of points on a locally planar curve and the Severi strata of its versal deformation." Compositio Mathematica 148, no. 2 (January 26, 2012): 531–47. http://dx.doi.org/10.1112/s0010437x11007378.

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AbstractLet C be a locally planar curve. Its versal deformation admits a stratification by the genera of the fibres. The strata are singular; we show that their multiplicities at the central point are determined by the Euler numbers of the Hilbert schemes of points on C. These Euler numbers have made two prior appearances. First, in certain simple cases, they control the contribution of C to the Pandharipande–Thomas curve counting invariants of three-folds. In this context, our result identifies the strata multiplicities as the local contributions to the Gopakumar–Vafa BPS invariants. Second, when C is smooth away from a unique singular point, a conjecture of Oblomkov and the present author identifies the Euler numbers of the Hilbert schemes with the ‘U(∞)’ invariant of the link of the singularity. We make contact with combinatorial ideas of Jaeger, and suggest an approach to the conjecture.

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10

Dong, Lihu, Danqing Song, and Guangwei Liu. "Seismic Wave Propagation Characteristics and Their Effects on the Dynamic Response of Layered Rock Sites." Applied Sciences 12, no. 2 (January 12, 2022): 758. http://dx.doi.org/10.3390/app12020758.

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To investigate the seismic response of layered rock sites, a multidomain analysis method was proposed. Three finite element models with infinite element boundaries for layered sites were analysed. The results of this multidomain analysis show that stratum properties and elevation have an impact on wave propagation characteristics and the dynamic response of layered sites. Compared with the rock mass, the overlying gravel soil has a greater dynamic amplification effect at the sites. A time domain analysis parameter PGA(IMF) was proposed to analyse the effects of different strata on the seismic magnification effect of layered sites, and its application was also discussed in comparison with PGA. According to the frequency domain analysis, the interface of the rock mass strata has a low impact on the Fourier spectrum characteristics of the sites, but gravel soil has a great magnification effect on the spectrum amplitude in the high-frequency band (≥30 Hz) of waves. Moreover, the stratum properties have a great influence on the shape and peak value of the Hilbert energy and marginal spectrum at layered sites. When waves propagate from hard rock to soft rock, the peak value of the Hilbert energy spectrum changes from single to multiple peaks; then, in gravelly soil, the Hilbert energy spectral peak, its nearby amplitude and the amplitude in the high-frequency band (28–36 Hz) are obviously amplified. The frequency components and amplitude of the marginal spectrum become more abundant and larger from rock to gravelly soil in the high-frequency band (28–35 Hz).

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Conference papers on the topic "Hilbert strata"

1

Li-Pin Chi, Guan-Da Chen, Chia-Yen Wei, Chung-Che Lien, Tian-Fu Hung, Sheau-Shong Bor, and Chih-Chiang Chen. "A circularly polarized CPW-fed square slot antenna with embedded Hilbert-curves and rectangular patches for GPS/GLONASS operations." In 2013 Cross Strait Quad-Regional Radio Science and Wireless Technology Conference (CSQRWC). IEEE, 2013. http://dx.doi.org/10.1109/csqrwc.2013.6657383.

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2

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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