The birational geometry of moduli spaces of sheaves on the projective plane

被引:0
作者
Aaron Bertram
Cristian Martinez
Jie Wang
机构
[1] University of Utah,Department of Mathematics
[2] University of Georgia,Department of Mathematics
来源
Geometriae Dedicata | 2014年 / 173卷
关键词
Moduli of sheaves; Bridgeland moduli space; Moduli of complexes; Bridgeland stability conditions; Birational geometry; 14D20; 14E30;
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摘要
We describe a close relation between wall crossings in the birational geometry of moduli space of Gieseker stable sheaves MH(v)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M_H(v)$$\end{document} on P2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {P}^2$$\end{document} and mini-wall crossings in the stability manifold Stab(Db(P2))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Stab(D^b(\mathbb {P}^2))$$\end{document}.
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页码:37 / 64
页数:27
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共 19 条
  • [1] Abramovich D(2006)Sheaves of J. Reine Angew. Math. 590 89-130
  • [2] Polishchuk A(2013)-structures and valuative criteria for stable complexes J. Eur. Math. Soc. (JEMS) 15 1-38
  • [3] Arcara D.(2013)Bridgeland-stable moduli spaces for K-trivial surfaces Adv. Math. 235 580-626
  • [4] Bertram A.(2010)The minimal model program for the Hilbert scheme of points on J. Am. Math. Soc. 23 405-468
  • [5] Arcara D(2008) and Bridgeland stability Duke Math. J. 141 241-291
  • [6] Bertram A(1988)Existence of minimal models for varieties of log general type Ann. Inst. Fourier (Grenoble) 38 105-168
  • [7] Coskun I(2011)Stability conditions on K3 surfaces Geom. Dedicata 152 17-49
  • [8] Huizenga J(1994)Groupe de Picard des variétés de modules de faisceaux semi-stables sur Q. J. Math. Oxf. Ser. (2) 45 515-530
  • [9] Birkar C(1993)On the geometry of the moduli spaces of semi-stable sheaves supported on plane quartics Rev. Roumaine Math. Pures Appl. 38 635-678
  • [10] Cascini P(1994)Moduli of representations of finite-dimensional algebras Bull. Soc. Math. France 122 363-369