The classification of automorphisms and quotients of Calabi-Yau threefolds of type A

IF 0.7 2区 数学 Q2 MATHEMATICS
Martina Monti
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引用次数: 0

Abstract

The aim of the paper is to investigate the only two families FGA of Calabi-Yau 3-folds A/G with A an abelian 3-fold and GAut(A) a finite group acting freely: one is constructed in [11] and the other is presented here. We provide a complete classification of the automorphism group of XFGA. Additionally, we construct and classify the quotients X/ϒ for any ϒAut(X). Specifically, for those groups ϒ that preserve the volume form of X then X/ϒ admits a desingularization Y which is a Calabi-Yau 3-fold: we compute the Hodge numbers and the fundamental group of these Y, thereby determining all topological in-equivalent Calabi-Yau 3-folds obtained in this way.

A 型 Calabi-Yau 三折的自形和商的分类
本文旨在研究 Calabi-Yau 3 折叠体中仅有的两个具有无常 3 折叠体和自由作用有限群的系列:一个是在《......》中构建的,另一个是在本文中提出的。我们提供了.的自变群的完整分类。 此外,我们还构造并分类了任意.的商。具体地说,对于那些保留其体积形式的群ϒ,我们会给出一个卡拉比优 3 折叠的去奇化:我们计算了这些群的霍奇数和基群,从而确定了以这种方式得到的所有拓扑内等价卡拉比优 3 折叠。
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来源期刊
CiteScore
1.70
自引率
12.50%
发文量
225
审稿时长
17 days
期刊介绍: The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.
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