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

• 成果类型: Article
• 署名作者: Esnault, Helene; Mehta, Vikram
• 署名单位: University of Duisburg Essen; Tata Institute of Fundamental Research (TIFR)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0250-2
• 发表日期: 2010
• 页码: 449-465
• 关键词: vector bundles; REPRESENTATIONS; sheaves; MODULI

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.