Academic literature on the topic 'Toroidal embedding'
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Journal articles on the topic "Toroidal embedding"
Nakamoto, Atsuhiro, Katsuhiro Ota, and Kenta Ozeki. "Book Embedding of Toroidal Bipartite Graphs." SIAM Journal on Discrete Mathematics 26, no. 2 (January 2012): 661–69. http://dx.doi.org/10.1137/100794651.
Full textKang, Ming-Hsuan, and Jing-Wen Gu. "Toroidal Spectral Drawing." Axioms 11, no. 3 (March 16, 2022): 137. http://dx.doi.org/10.3390/axioms11030137.
Full textBarthel, Senja. "On chirality of toroidal embeddings of polyhedral graphs." Journal of Knot Theory and Its Ramifications 26, no. 08 (May 22, 2017): 1750050. http://dx.doi.org/10.1142/s021821651750050x.
Full textFord, T. J. "The Toroidal Embedding Arising From an Irrational Fan." Results in Mathematics 35, no. 1-2 (March 1999): 44–69. http://dx.doi.org/10.1007/bf03322022.
Full textYu, Xuehong, Minsoo Kim, Florian Herrault, Chang-Hyeon Ji, Jungkwung Kim, and Mark G. Allen. "Silicon-Embedding Approaches to 3-D Toroidal Inductor Fabrication." Journal of Microelectromechanical Systems 22, no. 3 (June 2013): 580–88. http://dx.doi.org/10.1109/jmems.2012.2233718.
Full textStrapasson, João Eloir, Sueli Irene Rodrigues Costa, and Marcelo Muniz. "A Note on Quadrangular Embedding of Abelian Cayley Graphs." TEMA (São Carlos) 17, no. 3 (December 20, 2016): 331. http://dx.doi.org/10.5540/tema.2016.017.03.0331.
Full textHuang, Yan Tang, Ling Ou, and Yu Huang. "Generation of Multi-Atom W States in Microtoroidal Cavity-Atom System." Advanced Materials Research 571 (September 2012): 195–99. http://dx.doi.org/10.4028/www.scientific.net/amr.571.195.
Full textMöller, Martin, and Don Zagier. "Modular embeddings of Teichmüller curves." Compositio Mathematica 152, no. 11 (September 21, 2016): 2269–349. http://dx.doi.org/10.1112/s0010437x16007636.
Full textLoyola, Mark, Ma Louise Antonette De Las Peñas, Grace Estrada, and Eko Santoso. "Symmetry Groups Associated with Tilings of a Flat Torus." Acta Crystallographica Section A Foundations and Advances 70, a1 (August 5, 2014): C1428. http://dx.doi.org/10.1107/s2053273314085714.
Full textAl-Betar, Mohammed Azmi, Ahamad Tajudin Khader, Mohammed A. Awadallah, Mahmmoud Hafsaldin Alawan, and Belal Zaqaibeh. "Cellular Harmony Search for Optimization Problems." Journal of Applied Mathematics 2013 (2013): 1–20. http://dx.doi.org/10.1155/2013/139464.
Full textDissertations / Theses on the topic "Toroidal embedding"
Nguyenhuu, Rick Hung. "Torus embedding and its applications." CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/1572.
Full textYu, Xuehong. "Silicon-embedded magnetic components for on-chip integrated power applications." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/54243.
Full textNGUYEN, LEON. "Toroidal Embeddings and Desingularization." CSUSB ScholarWorks, 2018. https://scholarworks.lib.csusb.edu/etd/693.
Full textBotero, Ana María. "b-divisors on toric and toroidal embeddings." Doctoral thesis, Humboldt-Universität zu Berlin, 2017. http://dx.doi.org/10.18452/18140.
Full textIn this thesis we develop an intersection theory of toric and toroidal b-divisors on toric and toroidal embeddings, respectively. Our motivation comes from wanting to establish an arithmetic intersection theory on mixed Shimura varieties of non- compact type. The tools available until now do not define numerical invariants which are birationally invariant. First, we define toric b-divisors on toric varieties and an integrability notion of such divisors. We show that under suitable positivity assumptions toric b- divisors are integrable and that their degree is given as the volume of a convex set. Moreover, we show that the dimension of the space of global sections of a nef toric b-divisor is equal to the number of lattice points in this convex set and we give a Hilbert-Samuel type formula for its asymptotic growth. This generalizes classical results for classical toric divisors on toric varieties. As a by-product, we relate convex sets arising from toric b-divisors with Newton-Okounkov bodies. Then, we define toroidal b-divisors on toroidal varieties and an integrability notion of such divisors. We show that under suitable positivity assumptions toroidal b-divisors are integrable and that their degree is given as an integral with respect to a limit measure, which is a weak limit of discrete measures whose weights are defined via tropical intersection theory on the rational con- ical polyhedral complex attached to the toroidal variety. We also relate this limit measure with the surface area measure associated to a convex body. This relation enables us to compute integrals with respect to these limit measures ex- plicitly. Additionally, we give a canonical decomposition of the difference of two convex sets and we relate the volume of the pieces to tropical top intersection numbers. Finally, as an application, we compute the degree of the b-divisor of Jacobi forms of weight k and index m with respect to the principal congruence subgroup of level N >= 3 on the generalized universal elliptic curve and we show that it is meaningful to consider the b-divisorial approach instead of just fixing one canonical compactification.
Botero, Ana María [Verfasser], and Jürg [Gutachter] Kramer. "b-divisors on toric and toroidal embeddings / Ana María Botero ; Gutachter: Jürg Kramer." Berlin : Humboldt-Universität zu Berlin, 2017. http://d-nb.info/1189328941/34.
Full textCastle, Toen. "Entangled graphs on surfaces in space." Phd thesis, 2013. http://hdl.handle.net/1885/11978.
Full textHuang, Shing-Yeong, and 黃星詠. "A Survey on Toroidal Embeddings." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/30552913079473693691.
Full text國立臺灣大學
數學研究所
102
In this thesis, we will assume basic facts about toric varieties and commutative algebra, and give a survey of [3], chapter II, with detailed proofs of all the theorems. First of all, the idea of equivariant torus embeddings will be generalized to that of so-called toroidal embeddings, which means intuitively "locally similar to some torus embeddings". More precisely, a toroidal embedding is a smooth variety $X$ containing a smooth open subset $U$, such that for every closed point $x in X$, there exists an $T$-equivariant embedding $X_{sigma}$ of some torus $T$, a closed point $t in X_{sigma}$, and an $k$-local algebra isomorphism:[ widehat{mathcal{O}}_{X,x} simeq widehat{mathcal{O}}_{X_{sigma},t}] and the ideal in $widehat{mathcal{O}}_{X,x} $ generated by the ideal of $Xsetminus U$ corresponds to the ideal in $widehat{mathcal{O}}_{X_{sigma},t}$ generated by the ideal of $X_{sigma}setminus T$. Next, we can stratify a toroidal embedding into different components which generalize the idea of orbits. And then we can analyze a toroidal embedding as toric cases and obtain many similar results. The main goal of this generalization is to apply those developed theorems to reduce the proof of semi-stable reduction theorem to a specific combinatorial construction. Section 1 gives the definition of toroidal embeddings and the stratification of a toroidal embedding, and then consider the two crucial parts: $M^Y$ and $S^U({ m star}! Y)$ for a stratum $Y$ (Lemma 1.1.7 and Definition 1.1.11), which generalize the idea of $T$-invariant Cartier divisors and 1-parameter subgroup of a $T$-equivariant embedding, and we can also define a cone $sigma^Y$ in some euclidean space relative to the stratum $Y$. At the end of this section, we show that a toroidal embedding can be associated to a "polyhedral complex", which is a collection of cones patched together similar to a fan. Section 2 introduces "canonical morphism" to a fixed toroidal embedding, and shows that this is equivalent to give a sub-polyhedral complex (Theorem 1.2.2). With this theorem, we then generalize theorems of toric varieties by using polyhedral complices instead of fans, including the existence of morphisms, non-singularity of such varieties and blowing-ups (Theorem 1.2.8, Theorem 1.2.9 and Theorem 1.2.16), and eventually show that there exists a non-singular blowing-up. Section 3 provides concrete methods that we can convert the semi-stable reduction theorem to the construction of some toroidal embeddings, and then use the theorem in cite{Tor}, chapter III to show the semi-stable reduction theorem.
Books on the topic "Toroidal embedding"
Knudsen, F., B. Saint-Donat, D. Mumford, and G. Kempf. Toroidal Embeddings 1. Springer London, Limited, 2006.
Find full textBook chapters on the topic "Toroidal embedding"
Schröder, Heiko, Ondrej Sýkora, and Imrich Vrťo. "Optimal embedding of a toroidal array in a linear array." In Fundamentals of Computation Theory, 390–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54458-5_83.
Full textAndreae, Thomas, Michael Nölle, Christof Rempel, and Gerald Schreiber. "On embedding 2-dimensional toroidal grids into de Bruijn graphs with clocked congestion one." In Combinatorics and Computer Science, 316–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/3-540-61576-8_92.
Full textKasprowski, Daniel, and Min Hoon Kim. "Mixed Bing–Whitehead Decompositions." In The Disc Embedding Theorem, 103–14. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198841319.003.0008.
Full textLan, Kai-Wen. "Algebraic Constructions of Toroidal Compactifications." In Arithmetic Compactifications of PEL-Type Shimura Varieties. Princeton University Press, 2013. http://dx.doi.org/10.23943/princeton/9780691156545.003.0006.
Full textConference papers on the topic "Toroidal embedding"
Perea, Jose A. "Persistent homology of toroidal sliding window embeddings." In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2016. http://dx.doi.org/10.1109/icassp.2016.7472916.
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