Stability and certain $$\mathbb {P}^n$$-functors

IF 1.2 3区数学 Q1 MATHEMATICS

Research in the Mathematical Sciences Pub Date : 2023-10-03 DOI:10.1007/s40687-023-00405-y

Fabian Reede

引用次数: 0

Abstract

Abstract Let X be a K3 surface. We prove that Addington’s $$\mathbb {P}^n$$ P n -functor between the derived categories of X and the Hilbert scheme of points $$X^{[k]}$$ X [ k ] maps stable vector bundles on X to stable vector bundles on $$X^{[k]}$$ X [ k ] , given some numerical conditions are satisfied.

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稳定性和某些$$\mathbb {P}^n$$函子

设X是一个K3曲面。在一定的数值条件下，证明了Addington的$$\mathbb {P}^n$$ P n -函子在X的衍生范畴和点$$X^{[k]}$$ X [k]的Hilbert格式之间将X上的稳定向量束映射到$$X^{[k]}$$ X [k]上的稳定向量束。

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

Research in the Mathematical Sciences Mathematics-Computational Mathematics

CiteScore

2.00

自引率

8.30%

发文量

期刊介绍： Research in the Mathematical Sciences is an international, peer-reviewed hybrid journal covering the full scope of Theoretical Mathematics, Applied Mathematics, and Theoretical Computer Science. The Mission of the Journal is to publish high-quality original articles that make a significant contribution to the research areas of both theoretical and applied mathematics and theoretical computer science. This journal is an efficient enterprise where the editors play a central role in soliciting the best research papers, and where editorial decisions are reached in a timely fashion. Research in the Mathematical Sciences does not have a length restriction and encourages the submission of longer articles in which more complex and detailed analysis and proofing of theorems is required. It also publishes shorter research communications (Letters) covering nascent research in some of the hottest areas of mathematical research. This journal will publish the highest quality papers in all of the traditional areas of applied and theoretical areas of mathematics and computer science, and it will actively seek to publish seminal papers in the most emerging and interdisciplinary areas in all of the mathematical sciences. Research in the Mathematical Sciences wishes to lead the way by promoting the highest quality research of this type.