环形法诺流形动量的极对偶

IF 0.5 Q3 MATHEMATICS Complex Manifolds Pub Date : 2021-01-01 DOI:10.1515/coma-2020-0116

Yuji Sano

{"title":"环形法诺流形动量的极对偶","authors":"Yuji Sano","doi":"10.1515/coma-2020-0116","DOIUrl":null,"url":null,"abstract":"Abstract We introduce an invariant on the Fano polytope of a toric Fano manifold as a polar dual counterpart to the momentum of its polar dual polytope. Moreover, we prove that if the momentum of the polar dual polytope is equal to zero, then the dual invariant on a Fano polytope vanishes.","PeriodicalId":42393,"journal":{"name":"Complex Manifolds","volume":"8 1","pages":"230 - 246"},"PeriodicalIF":0.5000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/coma-2020-0116","citationCount":"0","resultStr":"{\"title\":\"A polar dual to the momentum of toric Fano manifolds\",\"authors\":\"Yuji Sano\",\"doi\":\"10.1515/coma-2020-0116\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We introduce an invariant on the Fano polytope of a toric Fano manifold as a polar dual counterpart to the momentum of its polar dual polytope. Moreover, we prove that if the momentum of the polar dual polytope is equal to zero, then the dual invariant on a Fano polytope vanishes.\",\"PeriodicalId\":42393,\"journal\":{\"name\":\"Complex Manifolds\",\"volume\":\"8 1\",\"pages\":\"230 - 246\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1515/coma-2020-0116\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Manifolds\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/coma-2020-0116\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Manifolds","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/coma-2020-0116","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

摘要引入一个环形范诺流形的范诺多面体上的不变量，作为其极对偶多面体动量的极对偶对应物。此外，我们证明了如果极性对偶多面体的动量等于零，那么Fano多面体上的对偶不变量就会消失。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

A polar dual to the momentum of toric Fano manifolds

Abstract We introduce an invariant on the Fano polytope of a toric Fano manifold as a polar dual counterpart to the momentum of its polar dual polytope. Moreover, we prove that if the momentum of the polar dual polytope is equal to zero, then the dual invariant on a Fano polytope vanishes.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.

期刊最新文献

Towards the cosymplectic topology Quot schemes and Fourier-Mukai transformation Chow transformation of coherent sheaves On the algebra generated by μ ¯ , ∂ ¯ , ∂ , μ \overline{\mu },\overline{\partial },\partial ,\mu Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds