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Peter Roquette, Joachim Cuntz, David Masser, Tobias Colding, Daniel Huybrechts, Jun-Muk Hwang, Jakob Stix, Rainer Weissauer, Theresa Haney, Franz Stückle

Abstract

We study Tannakian properties of the convolution product of perverse sheaves on elliptic curves. We establish that for certain sheaves with unipotent local monodromy over seven points the corresponding Tannaka group is isomorphic to G2{G_{2}}. This monodromy approach generalizes a result of Katz on the existence of G2{G_{2}}-motives in the middle cohomology of deformations of Beauville surfaces.

Locations

• Journal für die reine und angewandte Mathematik (Crelles Journal) - View - PDF