二维加权完全交叉的有效非消失

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-12 DOI:arxiv-2409.07828

Chen Jiang, Puyang Yu

{"title":"二维加权完全交叉的有效非消失","authors":"Chen Jiang, Puyang Yu","doi":"arxiv-2409.07828","DOIUrl":null,"url":null,"abstract":"We show Kawamata's effective nonvanishing conjecture (also known as the\nAmbro--Kawamata nonvanishing conjecture) holds for quasismooth weighted\ncomplete intersections of codimension $2$. Namely, for a quasismooth weighted\ncomplete intersection $X$ of codimension $2$ and an ample Cartier divisor $H$\non $X$ such that $H-K_X$ is ample, the linear system $|H|$ is nonempty.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effective nonvanishing for weighted complete intersections of codimension two\",\"authors\":\"Chen Jiang, Puyang Yu\",\"doi\":\"arxiv-2409.07828\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show Kawamata's effective nonvanishing conjecture (also known as the\\nAmbro--Kawamata nonvanishing conjecture) holds for quasismooth weighted\\ncomplete intersections of codimension $2$. Namely, for a quasismooth weighted\\ncomplete intersection $X$ of codimension $2$ and an ample Cartier divisor $H$\\non $X$ such that $H-K_X$ is ample, the linear system $|H|$ is nonempty.\",\"PeriodicalId\":501063,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Geometry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-12\",\"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-2409.07828\",\"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-2409.07828","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

我们证明川俣的有效不消失猜想（又称安布罗--川俣不消失猜想）对于标度为 2$ 的类平滑加权完整交集成立。也就是说，对于一个标度为 2$ 的类平滑加权完全交集 $X$，以及一个在 $X$ 上的充裕卡蒂埃除数 $H$ （使得 $H-K_X$ 是充裕的），线性系统 $|H|$ 是非空的。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Effective nonvanishing for weighted complete intersections of codimension two

We show Kawamata's effective nonvanishing conjecture (also known as the Ambro--Kawamata nonvanishing conjecture) holds for quasismooth weighted complete intersections of codimension $2$. Namely, for a quasismooth weighted complete intersection $X$ of codimension $2$ and an ample Cartier divisor $H$ on $X$ such that $H-K_X$ is ample, the linear system $|H|$ is nonempty.

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

arXiv - MATH - Algebraic Geometry

自引率

0.00%

发文量

期刊最新文献

A converse of Ax-Grothendieck theorem for étale endomorphisms of normal schemes MMP for Enriques pairs and singular Enriques varieties Moduli of Cubic fourfolds and reducible OADP surfaces Infinitesimal commutative unipotent group schemes with one-dimensional Lie algebra The second syzygy schemes of curves of large degree