{"title":"GG系统的全局分析","authors":"Saiei-Jaeyeong Matsubara-Heo","doi":"10.1093/IMRN/RNAB144","DOIUrl":null,"url":null,"abstract":"This paper deals with some analytic aspects of GG system introduced by I.M.Gelfand and M.I.Graev: We compute the dimension of the solution space of GG system over the field of functions meromorphic and periodic with respect to a lattice. We describe the monodromy invariant subspace of the solution space. We give a connection formula between a pair of bases consisting of $\\Gamma$-series solutions of GG system associated to a pair of regular triangulations adjacent to each other in the secondary fan.","PeriodicalId":278201,"journal":{"name":"arXiv: Algebraic Geometry","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Global Analysis of GG Systems\",\"authors\":\"Saiei-Jaeyeong Matsubara-Heo\",\"doi\":\"10.1093/IMRN/RNAB144\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with some analytic aspects of GG system introduced by I.M.Gelfand and M.I.Graev: We compute the dimension of the solution space of GG system over the field of functions meromorphic and periodic with respect to a lattice. We describe the monodromy invariant subspace of the solution space. We give a connection formula between a pair of bases consisting of $\\\\Gamma$-series solutions of GG system associated to a pair of regular triangulations adjacent to each other in the secondary fan.\",\"PeriodicalId\":278201,\"journal\":{\"name\":\"arXiv: Algebraic Geometry\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-10-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Algebraic Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/IMRN/RNAB144\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/IMRN/RNAB144","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper deals with some analytic aspects of GG system introduced by I.M.Gelfand and M.I.Graev: We compute the dimension of the solution space of GG system over the field of functions meromorphic and periodic with respect to a lattice. We describe the monodromy invariant subspace of the solution space. We give a connection formula between a pair of bases consisting of $\Gamma$-series solutions of GG system associated to a pair of regular triangulations adjacent to each other in the secondary fan.
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