The Gerbe Of Higgs Bundles

The Gerbe Of Higgs Bundles
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希格斯粒子束的非洲菊

DOI:
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发表时间:
2000
期刊:
影响因子:
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通讯作者:
D. Gaitsgory
D. Gaitsgory
中科院分区:
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文献类型:
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作者:
R. Donagi;D. Gaitsgory

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1(X,T ar{X}),其本身参数化T ar{X} torsors on X.这个基础群H1(X,T ar{X})可以描述为广义Prym簇,其连通分支是阿贝尔簇或退化阿贝尔簇.主要部分的工作涉及抽象的希格斯丛,在最后两个部分,我们得到的应用希格斯丛价值线丛K和束椭圆纤维化。
1(X, T ar{X}) which itself parametrizes T ar{X} torsors on X. This underlying group H1(X, T ar{X}) can be described as a generalized Prym variety, whose connected component is either an abelian variety or a degenerate abelian variety. The main part of the work deals with abstract Higgs bundles; in the last two sections we derive the applications to Higgs bundles valued in a line bundle K and to bundles on elliptic fibrations.