椭圆$K3$曲面的模：Monodromy和Shimada根格层（附Markus Kirschmer附录）

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-29 DOI:10.14231/ag-2022-006

K. Hulek, M. Lonne

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引用次数: 1

摘要

在本文中，我们研究了椭圆纤维K3表面模量空间的两个分层。第一个来自Shimada对椭圆纤维K3表面模量的连通分量的分类，并且与纤维的根晶格密切相关。第二种是Bogomolov、Petrov和Tschinkel定义的一元分层。本文的主要成果是对所有正维的ambi典型地层进行了分类，即既是岛田根层又是单生层的地层。我们还讨论了晶格极化K3表面与模空间的关系。M.Kirschmer的附录中包含了关于一维二元典型地层的计算结果。

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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Moduli of elliptic $K3$ surfaces: Monodromy and Shimada root lattice strata \n (with an appendix by Markus Kirschmer)

In this paper we investigate two stratifications of the moduli space of elliptically fibred K3 surfaces. The first comes from Shimada’s classification of connected components of the moduli of elliptically fibred K3 surfaces and is closely related to the root lattices of the fibration. The second is the monodromy stratification defined by Bogomolov, Petrov and Tschinkel. The main result of the paper is a classification of all positive-dimensional ambi-typical strata, that is, strata which are both Shimada root strata and monodromy strata. We also discuss the relationship with moduli spaces of lattice-polarised K3 surfaces. The appendix by M. Kirschmer contains computational results about the 1-dimensional ambi-typical strata.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.