K3 表面上剪切的模空间的局部微小单色性

IF 1.2 2区数学 Q1 MATHEMATICS

Transactions of the American Mathematical Society Pub Date : 2024-04-10 DOI:10.1090/tran/9185

Claudio Onorati, Arvid Perego, Antonio Rapagnetta

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引用次数: 0

摘要

本文研究了 K3 曲面上具有非原始穆凯向量 v v 的剪切的模空间 M v ( S , H ) M_v(S,H)上的单旋转算子。如果我们把 v = m w v=mw 写为 m > 1 m>1 而 w w 原始，那么我们的主要结果是，包含 M w ( S , H ) → M v ( S , H ) M_w(S,H)\to M_v(S,H)作为最奇异位点诱导了这些交映变体的单旋转群之间的同构，从而使我们能够把马克曼的一个结果推广到非原始情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Locally trivial monodromy of moduli spaces of sheaves on K3 surfaces

In this paper we study monodromy operators on moduli spaces M v ( S , H ) M_v(S,H) of sheaves on K3 surfaces with non-primitive Mukai vectors v v . If we write v = m w v=mw , with m > 1 m>1 and w w primitive, then our main result is that the inclusion M w ( S , H ) → M v ( S , H ) M_w(S,H)\to M_v(S,H) as the most singular locus induces an isomorphism between the monodromy groups of these symplectic varieties, allowing us to extend to the non-primitive case a result of Markman.

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来源期刊

Transactions of the American Mathematical Society 数学-数学

CiteScore

2.30

自引率

7.70%

发文量

171

审稿时长

3-6 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles in all areas of pure and applied mathematics. To be published in the Transactions, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Papers of less than 15 printed pages that meet the above criteria should be submitted to the Proceedings of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.