Abstract

Let X be a regular scheme, D a normal crossing divisor on X, and U the complement of D. We endow X with the canonical log structure associated to D. Let G be a finite flat group scheme (not commutative in general) over X. We discuss the relations among tame G-covers of X relative to D, fppf G-torsors over U, and Kummer log flat G-torsors over X.  Joint work with J. Gillibert.