准极化表面上稳定束的模空间及相对奇异对偶态射

IF 0.9 Q2 MATHEMATICS

Epijournal de Geometrie Algebrique Pub Date : 2021-01-01 DOI:10.46298/epiga.2021.7174

Svetlana A. Makarova

{"title":"准极化表面上稳定束的模空间及相对奇异对偶态射","authors":"Svetlana A. Makarova","doi":"10.46298/epiga.2021.7174","DOIUrl":null,"url":null,"abstract":"The main result of the present paper is a construction of relative moduli\nspaces of stable sheaves over the stack of quasipolarized projective surfaces.\nFor this, we use the theory of good moduli spaces, whose study was initiated by\nAlper. As a corollary, we extend the relative Strange Duality morphism to the\nlocus of quasipolarized K3 surfaces.","PeriodicalId":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Moduli spaces of stable sheaves over quasi-polarized surfaces, and the\\n relative Strange Duality morphism\",\"authors\":\"Svetlana A. Makarova\",\"doi\":\"10.46298/epiga.2021.7174\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main result of the present paper is a construction of relative moduli\\nspaces of stable sheaves over the stack of quasipolarized projective surfaces.\\nFor this, we use the theory of good moduli spaces, whose study was initiated by\\nAlper. As a corollary, we extend the relative Strange Duality morphism to the\\nlocus of quasipolarized K3 surfaces.\",\"PeriodicalId\":41470,\"journal\":{\"name\":\"Epijournal de Geometrie Algebrique\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Epijournal de Geometrie Algebrique\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/epiga.2021.7174\",\"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":"Epijournal de Geometrie Algebrique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2021.7174","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

本文的主要结果是构造了准极化投影曲面堆上稳定束的相对模距。为此，我们采用了alper提出的良模空间理论。作为推论，我们将相对奇异二象态射推广到准极化K3表面的焦点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative Strange Duality morphism

The main result of the present paper is a construction of relative moduli spaces of stable sheaves over the stack of quasipolarized projective surfaces. For this, we use the theory of good moduli spaces, whose study was initiated by Alper. As a corollary, we extend the relative Strange Duality morphism to the locus of quasipolarized K3 surfaces.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Epijournal de Geometrie Algebrique MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

25 weeks