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Interactions With Lattice Polytopes (Workshop) ((2017 :)

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Interactions with lattice polytopes = Magdeburg, Germany, September 2017 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Interactions with lattice polytopes/ edited by Alexander M. Kasprzyk, Benjamin Nill.
Reminder of title:	Magdeburg, Germany, September 2017 /
other author:	Kasprzyk, Alexander M.
corporate name:	Interactions With Lattice Polytopes (Workshop)
Published:	Cham :Springer International Publishing : : 2022.,
Description:	x, 364 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Polytopes - Congresses. -
Online resource:	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. - Cham :Springer International Publishing :2022. - x, 364 p. :ill., digital ;24 cm. - Springer proceedings in mathematics & statistics,v. 3862194-1017 ;. - Springer proceedings in mathematics & statistics ;v. 386..

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:

664706
Polytopes
--Congresses.

LC Class. No.: QA691 / .I57 2017

Dewey Class. No.: 516.158

Interactions with lattice polytopes = Magdeburg, Germany, September 2017 /
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505 0 $a 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.
520 $a 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.
650 0 $a Polytopes $x Congresses. $3 664706
650 0 $a Lattice theory $x Congresses. $3 716812
650 1 4 $a Algebraic Geometry. $3 893861
650 2 4 $a Polytopes. $3 704968
650 2 4 $a Discrete Mathematics. $3 1569938
700 1 $a Kasprzyk, Alexander M. $3 3602174
700 1 $a Nill, Benjamin. $3 3602175
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer proceedings in mathematics & statistics ; $v v. 386. $3 3602176
856 4 0 $u https://doi.org/10.1007/978-3-030-98327-7
950 $a Mathematics and Statistics (SpringerNature-11649)