{"title":"泊松曲面上一维剪切的交映模空间","authors":"Indranil Biswas, Dimitri Markushevich","doi":"arxiv-2408.02955","DOIUrl":null,"url":null,"abstract":"We show that the Poisson structure on the smooth locus of a moduli space of\n1-dimensional sheaves on a Poisson projective surface $X$ over $\\mathbb C$ is a\nreduction of a natural symplectic structure.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":"90 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Symplectic moduli space of 1-dimensional sheaves on Poisson surfaces\",\"authors\":\"Indranil Biswas, Dimitri Markushevich\",\"doi\":\"arxiv-2408.02955\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the Poisson structure on the smooth locus of a moduli space of\\n1-dimensional sheaves on a Poisson projective surface $X$ over $\\\\mathbb C$ is a\\nreduction of a natural symplectic structure.\",\"PeriodicalId\":501063,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Geometry\",\"volume\":\"90 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-06\",\"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-2408.02955\",\"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-2408.02955","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Symplectic moduli space of 1-dimensional sheaves on Poisson surfaces
We show that the Poisson structure on the smooth locus of a moduli space of
1-dimensional sheaves on a Poisson projective surface $X$ over $\mathbb C$ is a
reduction of a natural symplectic structure.
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