Tannaka Duality for Geometric Stacks

Details Tannaka Duality for Geometric Stacks Tannaka Duality for Geometric Stacks

2004-12-14

arxiv.org/abs/math/0412266v2

Mathematics

Algebraic Geometry

14 pages; preliminary version

Scientific paper

We show that, under appropriate hypothesis, the groupoid of maps from S to an
an algebraic stack X can be identified with a category of tensor functors from
coherent sheaves on X to coherent sheaves on S. As an application, we show that
if S is a proper variety over the field of complex numbers, then every
``analytic'' map from S to X is ``algebraic''.

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