{"title":"1和2属曲线雅可比矩阵束上的几何微分方程","authors":"E. Yu. Netaĭ","doi":"10.1090/S0077-1554-2014-00223-5","DOIUrl":null,"url":null,"abstract":". We construct some differential equations describing the geometry of bundles of Jacobians of algebraic curves of genus 1 and 2. For an elliptic curve we produce differential equations on the coefficients of a cometric compatible with the Gauss–Manin connection of the universal bundle of Jacobians of elliptic curves. This cometric is defined in terms of a solution F of the linear system of differential equations","PeriodicalId":37924,"journal":{"name":"Transactions of the Moscow Mathematical Society","volume":"37 1","pages":"281-292"},"PeriodicalIF":0.0000,"publicationDate":"2014-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1090/S0077-1554-2014-00223-5","citationCount":"0","resultStr":"{\"title\":\"Geometric differential equations on bundles of Jacobians of curves of genus 1 and 2\",\"authors\":\"E. Yu. Netaĭ\",\"doi\":\"10.1090/S0077-1554-2014-00223-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We construct some differential equations describing the geometry of bundles of Jacobians of algebraic curves of genus 1 and 2. For an elliptic curve we produce differential equations on the coefficients of a cometric compatible with the Gauss–Manin connection of the universal bundle of Jacobians of elliptic curves. This cometric is defined in terms of a solution F of the linear system of differential equations\",\"PeriodicalId\":37924,\"journal\":{\"name\":\"Transactions of the Moscow Mathematical Society\",\"volume\":\"37 1\",\"pages\":\"281-292\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-04-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1090/S0077-1554-2014-00223-5\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of the Moscow Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/S0077-1554-2014-00223-5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of the Moscow Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/S0077-1554-2014-00223-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
Geometric differential equations on bundles of Jacobians of curves of genus 1 and 2
. We construct some differential equations describing the geometry of bundles of Jacobians of algebraic curves of genus 1 and 2. For an elliptic curve we produce differential equations on the coefficients of a cometric compatible with the Gauss–Manin connection of the universal bundle of Jacobians of elliptic curves. This cometric is defined in terms of a solution F of the linear system of differential equations
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