博尔察-沃辛 Calabi-Yau Manifolds 的高维类比、其霍奇数和 L 函数

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2024-04-09 DOI:10.1007/s00220-024-04965-0

Dominik Burek

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引用次数: 0

摘要

我们构建了一系列任意维度的 Calabi-Yau 流形实例，并计算了主要不变式。特别是，我们给出了博尔察-沃辛 Calabi-Yau 三维流形的高维广义。我们给出了一种利用罗斯引入的轨道同调的弗罗贝尼斯变形计算局部zeta函数的方法。我们利用轨道陈阮同调计算所建实例的霍奇数。

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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Higher Dimensional Analogon of Borcea-Voisin Calabi-Yau Manifolds, Their Hodge Numbers and L-Functions

We construct a series of examples of Calabi-Yau manifolds in an arbitrary dimension and compute the main invariants. In particular, we give higher dimensional generalization of Borcea-Voisin Calabi-Yau threefolds. We give a method to compute a local zeta function using the Frobenius morphism for orbifold cohomology introduced by Rose. We compute Hodge numbers of the constructed examples using orbifold Chen-Ruan cohomology.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.