L. Kastner, Benjamin Lorenz, Andreas Paffenholz, Anna-Lena Winz
{"title":"polymake中的环面几何","authors":"L. Kastner, Benjamin Lorenz, Andreas Paffenholz, Anna-Lena Winz","doi":"10.1145/3177795.3177800","DOIUrl":null,"url":null,"abstract":"We give an overview of the application 'fulton' for toric geometry of the software framework polymake. Using two-dimensional cyclic quotient singularities as our main example, we will show how to create toric varieties and divisors on these. The Singular interface of polymake allows one to go back to the algebraic side in case there is no combinatorial algorithm known yet, in order to develop new conjectures and algorithms.","PeriodicalId":7093,"journal":{"name":"ACM Commun. Comput. Algebra","volume":"34 1","pages":"92-94"},"PeriodicalIF":0.0000,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Toric geometry in polymake\",\"authors\":\"L. Kastner, Benjamin Lorenz, Andreas Paffenholz, Anna-Lena Winz\",\"doi\":\"10.1145/3177795.3177800\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give an overview of the application 'fulton' for toric geometry of the software framework polymake. Using two-dimensional cyclic quotient singularities as our main example, we will show how to create toric varieties and divisors on these. The Singular interface of polymake allows one to go back to the algebraic side in case there is no combinatorial algorithm known yet, in order to develop new conjectures and algorithms.\",\"PeriodicalId\":7093,\"journal\":{\"name\":\"ACM Commun. Comput. Algebra\",\"volume\":\"34 1\",\"pages\":\"92-94\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-01-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM Commun. Comput. Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3177795.3177800\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Commun. Comput. Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3177795.3177800","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We give an overview of the application 'fulton' for toric geometry of the software framework polymake. Using two-dimensional cyclic quotient singularities as our main example, we will show how to create toric varieties and divisors on these. The Singular interface of polymake allows one to go back to the algebraic side in case there is no combinatorial algorithm known yet, in order to develop new conjectures and algorithms.
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