Moduli Stacks of Vector Bundles and Frobenius Morphisms

Details Moduli Stacks of Vector Bundles and Frobenius Morphisms Moduli Stacks of Vector Bundles and Frobenius Morphisms

2004-04-23

arxiv.org/abs/math/0404429v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

We describe the action of the different Frobenius morphisms on the cohomology
ring of the moduli stack of algebraic vector bundles of fixed rank and
determinant on an algebraic curve over a finite field in characteristic p and
analyse special situations like vector bundles on the projective line and
relations with infinite Grassmannians.

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