Descent of tautological sheaves from Hilbert schemes to Enriques manifolds

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-03-15 DOI:10.1007/s10231-024-01437-z

Fabian Reede

引用次数: 0

Abstract

Let X be a K3 surface which doubly covers an Enriques surface S. If \(n\in {\mathbb {N}}\) is an odd number, then the Hilbert scheme of n-points \(X^{[n]}\) admits a natural quotient \(S_{[n]}\). This quotient is an Enriques manifold in the sense of Oguiso and Schröer. In this paper we construct slope stable sheaves on \(S_{[n]}\) and study some of their properties.

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从希尔伯特方案到恩里克流形的同调卷的后裔

如果 \(n\in {\mathbb {N}}\) 是奇数，那么 n 点的希尔伯特方案 \(X^{[n]}\)就有一个自然商 \(S_{[n]}\)。这个商是奥吉索（Oguiso）和施罗尔（Schröer）意义上的恩里克流形。在本文中，我们将在\(S_{[n]}\)上构造斜率稳定剪，并研究它们的一些性质。

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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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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