Higgs bundles and fundamental group schemes

被引：4
|
作者：
Biswas, Indranil [1 ]
Bruzzo, Ugo [2 ,3 ]
Gurjar, Sudarshan [4 ]
机构：
[1] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Bombay 400005, Maharashtra, India
[2] SISSA, Via Bonomea 265, I-34136 Trieste, Italy
[3] Ist Nazl Fis Nucl, Sez Trieste, Trieste, Italy
[4] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India
来源：
ADVANCES IN GEOMETRY | 2019年 / 19卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Higgs bundles; Tannakian category; numerically effectiveness; SEMISTABILITY;
D O I：
10.1515/advgeom-2018-0035
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Relying on a notion of "numerical effectiveness" for Higgs bundles, we show that the category of "numerically flat" Higgs vector bundles on a smooth projective variety X is a Tannakian category. We introduce the associated group scheme, that we call the "Higgs fundamental group scheme of X," and show that its properties are related to a conjecture about the vanishing of the Chern classes of numerically flat Higgs vector bundles.
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页码：381 / 388
页数：8
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