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Algebraic and Geometric Combinatorics on Lattice Polytopes最新文献

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Finding a fully mixed cell in a mixed subdivision of polytopes 在多面体的混合细分中发现一个完全混合的细胞
Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2019-06-01 DOI: 10.1142/9789811200489_0009
Giulia Codenotti, Lena Walter
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引用次数: 0
Technically, squares are polytopes 从技术上讲，正方形是多面体
Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2019-06-01 DOI: 10.1142/9789811200489_0019
L. Ng
{"title":"Technically, squares are polytopes","authors":"L. Ng","doi":"10.1142/9789811200489_0019","DOIUrl":"https://doi.org/10.1142/9789811200489_0019","url":null,"abstract":"","PeriodicalId":322478,"journal":{"name":"Algebraic and Geometric Combinatorics on Lattice Polytopes","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126377997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Open problems from the 2018 Summer Workshop on Lattice Polytopes at Osaka University 大阪大学2018年格多面体夏季研讨会的开放问题
Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2019-06-01 DOI: 10.1142/9789811200489_0029
Gabriele Balletti, F. Castillo, Liam Solus, Bach Tran, Akiyoshi Tsuchiya
{"title":"Open problems from the 2018 Summer Workshop on Lattice Polytopes at Osaka University","authors":"Gabriele Balletti, F. Castillo, Liam Solus, Bach Tran, Akiyoshi Tsuchiya","doi":"10.1142/9789811200489_0029","DOIUrl":"https://doi.org/10.1142/9789811200489_0029","url":null,"abstract":"","PeriodicalId":322478,"journal":{"name":"Algebraic and Geometric Combinatorics on Lattice Polytopes","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131680985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A brief survey about moment polytopes of subvarieties of products of Grassmanians 格拉斯曼属产物亚种矩多面体的简要综述
Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2019-06-01 DOI: 10.1142/9789811200489_0012
Laura Escobar
{"title":"A brief survey about moment polytopes of subvarieties of products of Grassmanians","authors":"Laura Escobar","doi":"10.1142/9789811200489_0012","DOIUrl":"https://doi.org/10.1142/9789811200489_0012","url":null,"abstract":"","PeriodicalId":322478,"journal":{"name":"Algebraic and Geometric Combinatorics on Lattice Polytopes","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114520371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
FRONT MATTER 前页
Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2019-06-01 DOI: 10.1142/9789811200489_fmatter
T. Hibi, Akiyoshi Tsuchiya
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引用次数: 0
Lattice polytopes in mathematical physics 数学物理中的点阵多面体
Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2019-06-01 DOI: 10.1142/9789811200489_0011
Florian Kohl, Alexander Engström
{"title":"Lattice polytopes in mathematical physics","authors":"Florian Kohl, Alexander Engström","doi":"10.1142/9789811200489_0011","DOIUrl":"https://doi.org/10.1142/9789811200489_0011","url":null,"abstract":"","PeriodicalId":322478,"journal":{"name":"Algebraic and Geometric Combinatorics on Lattice Polytopes","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129702189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Reider-type result for smooth projective toric surfaces 光滑射影环面的赖德式结果
Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2019-01-23 DOI: 10.1142/9789811200489_0027
Bach Tran
{"title":"A Reider-type result for smooth projective toric surfaces","authors":"Bach Tran","doi":"10.1142/9789811200489_0027","DOIUrl":"https://doi.org/10.1142/9789811200489_0027","url":null,"abstract":"Let $L$ be an ample line bundle over a smooth projective toric surface $X$. Then $L$ corresponds to a very ample lattice polytope $P$ that encodes many geometric properties of $L$. In this article, by studying $P$, we will give some necessary and sufficient numerical criteria for the adjoint series $|K_X+L|$ to be either nef or (very) ample.","PeriodicalId":322478,"journal":{"name":"Algebraic and Geometric Combinatorics on Lattice Polytopes","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127068576","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Complete intersection Calabi–Yau threefolds in Hibi toric varieties and their smoothing Hibi品种中Calabi-Yau三倍完全相交及其平滑
Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2019-01-16 DOI: 10.1142/9789811200489_0018
Makoto Miura
{"title":"Complete intersection Calabi–Yau threefolds in Hibi toric varieties and their smoothing","authors":"Makoto Miura","doi":"10.1142/9789811200489_0018","DOIUrl":"https://doi.org/10.1142/9789811200489_0018","url":null,"abstract":"In this article, we summarize combinatorial description of complete intersection Calabi-Yau threefolds in Hibi toric varieties. Such Calabi-Yau threefolds have at worst conifold singularities, and are often smoothable to non-singular Calabi-Yau threefolds. We focus on such non-singular Calabi-Yau threefolds of Picard number one, and illustrate the calculation of topological invariants, using new motivating examples.","PeriodicalId":322478,"journal":{"name":"Algebraic and Geometric Combinatorics on Lattice Polytopes","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129328713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Eberhard-type theorems with two kinds of polygons 两种多边形的eberhard型定理
Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2019-01-03 DOI: 10.1142/9789811200489_0017
Sebastian Manecke
{"title":"Eberhard-type theorems with two kinds of polygons","authors":"Sebastian Manecke","doi":"10.1142/9789811200489_0017","DOIUrl":"https://doi.org/10.1142/9789811200489_0017","url":null,"abstract":"Eberhard-type theorems are statements about the realizability of a polytope (or more general polyhedral maps) given the valency of its vertices and sizes of its polygonal faces up to a linear linear degree of freedom. We present new theorems of Eberhard-type where we allow adding two kinds of polygons and one type of vertices. We also hint towards a full classification of these types of results.","PeriodicalId":322478,"journal":{"name":"Algebraic and Geometric Combinatorics on Lattice Polytopes","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125392263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Special cases and a dual view on the local formulas for Ehrhart coefficients from lattice tiles 格瓦片Ehrhart系数局部公式的特殊情况和对偶观点
Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2018-12-17 DOI: 10.1142/9789811200489_0023
Maren H. Ring
{"title":"Special cases and a dual view on the local formulas for Ehrhart coefficients from lattice tiles","authors":"Maren H. Ring","doi":"10.1142/9789811200489_0023","DOIUrl":"https://doi.org/10.1142/9789811200489_0023","url":null,"abstract":"McMullen's formulas or local formulas for Ehrhart coefficients are functions on rational cones that determine the $i$-th coefficient of the Ehrhart polynomial as a weighted sum of the volumes of the i-dimensional faces of a polytope. This work focuses on the RS-$mu$-construction as given in a previous paper by Achill Sch\"urmann and the author. We give an explicit description of the construction from the dual point of view, i.e. given the cone of feasible directions instead of the normal cone as input value. We further show some properties of the construction in special cases, namely in case of symmetry and for the codimension one case.","PeriodicalId":322478,"journal":{"name":"Algebraic and Geometric Combinatorics on Lattice Polytopes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130946894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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