Deligne's integrality theorem in unequal characteristic and rational points over finite fields

• 成果类型: Article
• 署名作者: Esnault, Helene
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2006.164.715
• 发表日期: 2006
• 页码: 715-730
• 关键词: varieties; eigenvalues; congruences; frobenius

摘要

If V is a smooth projective variety defined over a local field K with finite residue field, so that its etale cohomology over the algebraic closure K is supported in codimension 1, then the mod p reduction of a projective regular model carries a rational point. As a consequence, if the Chow group of 0-cycles of V over a large algebraically closed field is trivial, then the mod p reduction of a projective regular model carries a rational point.