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Interactions with Lattice Polytopes = Magdeburg, Germany, September 2017 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Interactions with Lattice Polytopes/ edited by Alexander M. Kasprzyk, Benjamin Nill.
其他題名:	Magdeburg, Germany, September 2017 /
其他作者:	Nill, Benjamin.
面頁冊數:	X, 364 p. 87 illus., 7 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Discrete Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-030-98327-7
ISBN:	9783030983277

Interactions with Lattice Polytopes = Magdeburg, Germany, September 2017 /
Interactions with Lattice PolytopesMagdeburg, Germany, September 2017 /[electronic resource] :edited by Alexander M. Kasprzyk, Benjamin Nill. - 1st ed. 2022. - X, 364 p. 87 illus., 7 illus. in color.online resource. - Springer Proceedings in Mathematics & Statistics,3862194-1017 ;. - Springer Proceedings in Mathematics & Statistics,125.

G. Averkov, Difference between families of weakly and strongly maximal integral lattice-free polytopes -- V. Batyrev, A. Kasprzyk, and K. Schaller, On the Fine interior of three-dimensional canonical Fano polytopes -- M. Blanco, Lattice distances in 3-dimensional quantum jumps -- A. Cameron, R. Dinu, M. Michałek, and T. Seynnaeve, Flag matroids: algebra and geometry -- D. Cavey and E. Kutas, Classiﬁcation of minimal polygons with speciﬁed singularity content -- T. Coates, A. Corti, and Genival da Silva Jr, On the topology of Fano smoothings -- S. Di Rocco and A. Lundman, Computing Seshadri constants on smooth toric surfaces -- A. Higashitani, The characterisation problem of Ehrhart polynomials of lattice polytopes -- J. Hofscheier, The ring of conditions for horospherical homogeneous spaces -- K. Jochemko, Linear recursions for integer point transforms -- V. Kiritchenko and M. Padalko, Schubert calculus on Newton–Okounkov polytopes, Bach Le Tran, An Eisenbud–Goto-type upper bound for the Castelnuovo–Mumford regularity of fake weighted projective spaces -- M. Pabiniak, Toric degenerations in symplectic geometry -- A. Petracci, On deformations of toric Fano varieties -- T. Prince, Polygons of ﬁnite mutation type -- Hendrik Süß, Orbit spaces of maximal torus actions on oriented Grassmannians of planes -- A. Tsuchiya, The reﬂexive dimension of (0, 1)-polytopes -- .

This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including algebraic geometry, mirror symmetry, symplectic geometry, discrete geometry, and algebraic combinatorics, the common theme is the study of lattice polytopes. These fascinating combinatorial objects are a cornerstone of toric geometry and continue to find rich and unforeseen applications throughout mathematics. The workshop Interactions with Lattice Polytopes assembled many top researchers at the Otto-von-Guericke-Universität Magdeburg in 2017 to discuss the role of lattice polytopes in their work, and many of their presented results are collected in this book. Intended to be accessible, these articles are suitable for researchers and graduate students interested in learning about some of the wide-ranging interactions of lattice polytopes in pure mathematics.

ISBN: 9783030983277

Standard No.: 10.1007/978-3-030-98327-7doiSubjects--Topical Terms:

796600
Discrete Mathematics.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

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