We construct a classification of coherent sheaves with an integrable log connection, or, more precisely, sheaves with an integrable connection on a smooth log analytic space X over C. We do this in three contexts: sheaves and connections which are equivariant with respect to a torus action, germs of holomorphic connections, and finally global log analytic spaces. In each case, we construct an e...

"Starting with group graded Morita equivalences, we obtain equivalences for tensor products and wreath products."

Let G be a finite group and D division algebra faithfully -graded, dimensional over its center K , where c h r ( ) = 0 . e ∈ denote the identity element suppose ∩ -center of contains ζ n primitive -th root unity, is exponent To such -grading on we associate normal abelian subgroup H positive integer d an o m M μ / Here denotes roots x p Schur multiplier The action trivial induced by Our main th...