期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Moment Maps and Equivariant Volumes

Moment Maps and Equivariant Volumes
原文传递
导出
摘要 The study of the volume of big line bundles on a complex projective manifold M has been one of the main veins in the recent interest in the asymptotic properties of linear series. In this article, we consider an equivariant version of this problem, in the presence of a linear action of a reductive group on M. The study of the volume of big line bundles on a complex projective manifold M has been one of the main veins in the recent interest in the asymptotic properties of linear series. In this article, we consider an equivariant version of this problem, in the presence of a linear action of a reductive group on M.
作者 Alberto DELLA VEDOVA Roberto PAOLETTI
机构地区 Dipartimento di Matematica Dipartimento di Matematica e Applicazioni
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第12期2155-2188,共34页 数学学报（英文版）
关键词 big line bundle asymptotic invariant moment map GIT quotient big line bundle, asymptotic invariant, moment map, GIT quotient
分类号 O186.12 [理学—基础数学]
  • 相关文献

参考文献30

  • 1Fujita, T.: Approximating Zariski decomposition of big line bundles. Kodai. Math. J., 17(1), 1-3 (1994)
  • 2Demailly, J. P., Ein, L., Lazarsfeld, R.: A subadditivity property of multiplier ideals. Michigan Math. J., 48, 137-156 (2000)
  • 3Lazarsfeld, R.: Positivity in Algebraic Geometry Ⅰ and Ⅱ, Springer 2004
  • 4Guillemin, V., Sternberg, S.: Geometric quantization and multiplicities of group representations. Inv. Math., 67, 515-538 (1982)
  • 5Jeffrey, L., Kirwan, F.: Localization and the quantization conjecture. Topology, 36(3), 647-693 (1997)
  • 6Kirwan, F.: Momentum maps and reduction in algebraic geometry. Differential Geom. Appl., 9(1-2), 135-171 (1998)
  • 7Meinrenken, E.: Symplectic surgery and the Spin^C-Dirac operator. Adv. Math., 134(2), 240-277 (1998)
  • 8Meinrenken, E., Sjamaar, R.: Singular reduction and quantization. Topology, 38(4), 699-762 (1999)
  • 9Sjamaar, R.: Symplectic reduction and Riemann-Roch formulas for multiplicities. Bull. Amer. Math. Soc. (N.S.), 33(3), 327-338 (1996)
  • 10Guillemin, V., Ginzburg, V., Karshon, Y.: Moment maps, cobordism, and Hamiltonian group actions, Mathematical Surveys and Monographs, 98, A.M.S., 2002
Acta Mathematica Sinica,English Series
2007年 第12期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部