Fano多边形奇异性内容的限制

Algebraic and Geometric Combinatorics on Lattice Polytopes Pub Date : 2018-08-20 DOI:10.1142/9789811200489_0008

D. Cavey

{"title":"Fano多边形奇异性内容的限制","authors":"D. Cavey","doi":"10.1142/9789811200489_0008","DOIUrl":null,"url":null,"abstract":"We determine restrictions on the singularity content of a Fano polygon, or equivalently of certain orbifold del Pezzo surfaces. We establish bounds on the maximum number of 1/R(1,1) singularities in the basket of residual singularities. In particular, there are no Fano polygons without T-singularities and with a basket given by (i) {k x 1/R(1,1)} where k is a positive integer and R>4, or (ii) {1/R1(1,1), 1/R2(1,1), 1/R3(1,1)}.","PeriodicalId":322478,"journal":{"name":"Algebraic and Geometric Combinatorics on Lattice Polytopes","volume":"56 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Restrictions on the singularity content of a Fano polygon\",\"authors\":\"D. Cavey\",\"doi\":\"10.1142/9789811200489_0008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We determine restrictions on the singularity content of a Fano polygon, or equivalently of certain orbifold del Pezzo surfaces. We establish bounds on the maximum number of 1/R(1,1) singularities in the basket of residual singularities. In particular, there are no Fano polygons without T-singularities and with a basket given by (i) {k x 1/R(1,1)} where k is a positive integer and R>4, or (ii) {1/R1(1,1), 1/R2(1,1), 1/R3(1,1)}.\",\"PeriodicalId\":322478,\"journal\":{\"name\":\"Algebraic and Geometric Combinatorics on Lattice Polytopes\",\"volume\":\"56 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-08-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebraic and Geometric Combinatorics on Lattice Polytopes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/9789811200489_0008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebraic and Geometric Combinatorics on Lattice Polytopes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789811200489_0008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

我们确定了Fano多边形奇异性含量的限制条件，或等价于某些轨道del Pezzo曲面。我们建立了残差奇点篮子中1/R(1,1)个奇点的最大数目的界。特别地，不存在不存在t奇点的Fano多边形，并且不存在由(i) {k x 1/R(1,1)}给出的篮子，其中k是正整数且R>4，或者(ii) {1/R1(1,1)， 1/R2(1,1)， 1/R3(1,1)}给出的篮子。

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

Restrictions on the singularity content of a Fano polygon

We determine restrictions on the singularity content of a Fano polygon, or equivalently of certain orbifold del Pezzo surfaces. We establish bounds on the maximum number of 1/R(1,1) singularities in the basket of residual singularities. In particular, there are no Fano polygons without T-singularities and with a basket given by (i) {k x 1/R(1,1)} where k is a positive integer and R>4, or (ii) {1/R1(1,1), 1/R2(1,1), 1/R3(1,1)}.

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

Algebraic and Geometric Combinatorics on Lattice Polytopes

自引率

0.00%

发文量

期刊最新文献

BACK MATTER FRONT MATTER A brief survey about moment polytopes of subvarieties of products of Grassmanians A short survey on Tesler matrices and Tesler polytopes On the faces of simple polytopes