A comparison theorem for semi-abelian schemes over a smooth curve

Abstract

We compare flat cohomology with crystalline syntomic complexes in two cases: 1) $p$-divisible groups over a separated ${\mathbb{F}}_p$-scheme with local finite $p$-bases, 2) semi-abelian schemes over a separated irreducible smooth curve.

Revised version (restructured + new sections: 10. Notations, 11. Terminology), 204. p