广义Kummer变形模量的一般类型结果

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2025-09-26 DOI:10.1002/mana.70043

Matthew Dawes

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引用次数: 0

摘要

In Dawes[代数]地球，12(2025),no。[3,601 - 660]，研究了与变形广义Kummer型紧致hyperkähler流形（也称为“变形广义Kummer型流形”）模空间相关的正交模变体F （Γ）$ \mathcal {F}(\Gamma)$族。定义了偶数2d$ 2d$的正交模变体，对应于相关hyperkähler流形的极化度。它在Dawes[代数]中得到了证明。地球，12(2025),no。[3,601 - 660]当2d$ 2d$是无平方且足够大时，模变体是一般型的。本文的目的是证明可以去除无平方条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

General type results for moduli of deformation generalised Kummer varieties

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General type results for moduli of deformation generalised Kummer varieties

In Dawes [Algebr. Geom. 12(2025), no. 3, 601–660], families of orthogonal modular varieties $F (Γ)$ associated with moduli spaces of compact hyperkähler manifolds of deformation generalized Kummer type (also known as “deformation generalized Kummer varieties”) were studied. The orthogonal modular varieties were defined for an even integer $2 d$ , corresponding to the degree of polarization of the associated hyperkähler manifolds. It was shown in Dawes [Algebr. Geom. 12(2025), no. 3, 601–660] that the modular varieties are of general type when $2 d$ is square-free and sufficiently large. The purpose of this paper is to show that the square-free condition can be removed.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index