Intersection cohomology of Drinfeld‚s compactifications
Intersection cohomology of Drinfeld‚s compactifications
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Drinfeld 紧化的交交上同调
DOI：
10.1007/s00029-002-8111-5
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
I. Mirkovic
中科院分区：
文献类型：
--
作者：
A. Braverman;M. Finkelberg;D. Gaitsgory;I. Mirkovic
抽象。设X是光滑完备曲线，G是约化群，
$ P \subset G $ a parabolic.根据Drinfeld，定义了（相对）紧化
X上P-丛的模栈的$ \widetilde{\hbox{\rm Bun}\，}_P $。本文研究了一类非线性系统的交上同调层的显式刻画。
$ \widetilde{\hbox{\rm Bun}\，}_P $.用Langlands对偶李代数的组合学给出了这种描述
$ \check{\mathfrak g} $.
Abstract. Let X be a smooth complete curve, G be a reductive group and
$ P \subset G $ a parabolic. Following Drinfeld, one defines a (relative) compactification
$ \widetilde{\hbox{\rm Bun}\,}_P $ of the moduli stack of P-bundles on X. The present paper is concerned with the explicit description of the Intersection Cohomology sheaf of
$ \widetilde{\hbox{\rm Bun}\,}_P $. The description is given in terms of the combinatorics of the Langlands dual Lie algebra
$ \check{\mathfrak g} $.