Volume no :21, Issue no: 1, December (2019)

Journal of Algebra, Number Theory: Advances and Applications

CONGRUENCES OF THE CARDINALITIES OF RATIONAL POINTS OF LOG FANO VARIETIES AND LOG CALABI-YAU VARIETIES OVER THE LOG POINTS OF FINITE FIELDS

Author's: Yukiyoshi Nakkajima
Pages: [1] - [51]
Received Date: July 11, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122080

Abstract

In this article, we give the definitions of log Fano varieties and log Calabi-Yau varieties in the framework of theory of log schemes of Fontaine-Illusie-Kato and give congruences of the cardinalities of rational points of them over the log points of finite fields.

Keywords

rational points in finite fields, log varieties, Lefschetz trace formula.