Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles

被引：27

作者：

Esnault, Helene ^{[1
]}

Mehta, Vikram ^{[2
]}

机构：

[1] Univ Duisburg Essen, D-45117 Essen, Germany

[2] Tata Inst, Bombay 400005, Maharashtra, India

来源：

INVENTIONES MATHEMATICAE | 2010年 / 181卷 / 03期

基金：

欧洲研究理事会;

关键词：

VECTOR BUNDLES; REPRESENTATIONS; SHEAVES; MODULI;

D O I：

10.1007/s00222-010-0250-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that simply connected projective manifolds in characteristic p > 0 have no nontrivial stratified bundles. This gives a positive answer to a conjecture by D. Gieseker (Ann. Sc. Norm. Super. Pisa, 4 S,r. 2(1):1-31, 1975). The proof uses Hrushovski's theorem on periodic points.

引用

页码：449 / 465

页数：17

共 15 条

[1] Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles
Hélène Esnault
Vikram Mehta
Inventiones mathematicae, 2010, 181 : 449 - 465
[2] Simply connected varieties in characteristic p > 0
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Srinivas, Vasudevan
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[3] Specialization of coverings in characteristic p>0
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[4] On modular forms of characteristic p>0
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[5] Coverings of curves in characteristic p>0 and ordinariness
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[6] On multiplicative integrability of derivations in characteristic p>0
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[7] On the identities of the Grassmann algebras in characteristic p>0
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[8] On the representation of derivative algebras in characteristic p>0
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[9] Unipotent elements of semisimple simply connected algebraic groups in characteristic p > 0
Gille, P
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (12): : 1123 - 1128
[10] On the conjectures of Birch and Swinnerton-Dyer in characteristic p>0
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Trihan, F
INVENTIONES MATHEMATICAE, 2003, 153 (03) : 537 - 592

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Simply connected projective manifolds in characteristic p&gt;0 have no nontrivial stratified bundles

Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles