Stability and certain Pn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {P}^n$$\end{document}-functors

被引：0
作者：
Fabian Reede
机构：
[1] Leibniz Universität Hannover,Institut für Algebraische Geometrie
来源：
Research in the Mathematical Sciences | 2023年 / 10卷 / 4期
关键词：
Stable sheaves; Integral functors; Hilbert schemes;
D O I：
10.1007/s40687-023-00405-y
中图分类号：
学科分类号：
摘要：
Let X be a K3 surface. We prove that Addington’s Pn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {P}^n$$\end{document}-functor between the derived categories of X and the Hilbert scheme of points X[k]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X^{[k]}$$\end{document} maps stable vector bundles on X to stable vector bundles on X[k]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X^{[k]}$$\end{document}, given some numerical conditions are satisfied.
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