{"title":"黎曼曲面元化复数的阿贝尔-雅可比定理","authors":"Maximilian C. E. Hofmann, Martin Ulirsch","doi":"arxiv-2408.03851","DOIUrl":null,"url":null,"abstract":"Motivated by the recent surge of interest in the geometry of hybrid spaces,\nwe prove an Abel-Jacobi theorem for a metrized complex of Riemann surfaces,\ngeneralizing both the classical Abel-Jacobi theorem and its tropical analogue.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":"79 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Abel-Jacobi theorem for metrized complexes of Riemann surfaces\",\"authors\":\"Maximilian C. E. Hofmann, Martin Ulirsch\",\"doi\":\"arxiv-2408.03851\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Motivated by the recent surge of interest in the geometry of hybrid spaces,\\nwe prove an Abel-Jacobi theorem for a metrized complex of Riemann surfaces,\\ngeneralizing both the classical Abel-Jacobi theorem and its tropical analogue.\",\"PeriodicalId\":501063,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Geometry\",\"volume\":\"79 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Algebraic Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.03851\",\"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 - MATH - Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.03851","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Abel-Jacobi theorem for metrized complexes of Riemann surfaces
Motivated by the recent surge of interest in the geometry of hybrid spaces,
we prove an Abel-Jacobi theorem for a metrized complex of Riemann surfaces,
generalizing both the classical Abel-Jacobi theorem and its tropical analogue.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
