| Moment Maps and Equivariant Volumes |
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| 作者姓名： | Alberto DELLA VEDOVA Roberto PAOLETTI |
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| 摘 要： |
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| 关 键 词： | 渐近不变量 映射 射影几何 GIT系数 |
| 收稿时间： | 2006-04-27 |
| 修稿时间： | 2007-06-11 |
Moment Maps and Equivariant Volumes |
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| Alberto DELLA VEDOVA Roberto PAOLETTI.Moment Maps and Equivariant Volumes[J].Acta Mathematica Sinica,2007,23(12):2155-2188. |
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| Authors: | Alberto Della Vedova Roberto Paoletti |
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| Institution: | (1) Dipartimento di Matematica, Università degli Studi di Parma, Viale G. P. Usberti 53/A, 43100 Parma, Italy;(2) Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano Bicocca, Via R. Cozzi 53, 20125 Milano, Italy |
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| Abstract: | 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. |
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| Keywords: | big line bundle asymptotic invariant moment map GIT quotient |
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