Syntomic complexes of F-crystals and Tamagawa number conjecture in characteristic p, with Appendix by Arthur Ogus

TL;DR

This paper explores the relationship between syntomic complexes of uniform F-crystals and the Tamagawa number conjecture in characteristic p, providing new insights into their interplay and implications.

Contribution

It introduces a novel connection between syntomic complexes and the Tamagawa number conjecture in characteristic p, advancing understanding in arithmetic geometry.

Findings

Established a link between syntomic complexes and Tamagawa numbers in characteristic p

Provided new theoretical framework for Tamagawa number conjecture

Enhanced understanding of F-crystals in arithmetic geometry

Abstract

We consider syntomic complexes of uniform F-crystals and relate them to Tamagawa number conjecture in characteristic p