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Conformal blocks and generalized theta functions
LetSUXr be the moduli space of rankr vector bundles with trivial determinant on a Riemann surfaceX. This space carries a natural line bundle, the determinant line bundleL. We describe a canonical…
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The line bundles on the moduli of parabolic G-bundles over curves and their sections
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The six operations for sheaves on Artin stacks II: Adic coefficients
In this paper we develop a theory of Grothendieck’s six operations for adic constructible sheaves on Artin stacks continuing the study of the finite coefficients case in [12].
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Hitchin's and WZW connections are the same
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The six operations for sheaves on Artin stacks I: Finite coefficients
In this paper we develop a theory of Grothendieck’s six operations of lisse-étale constructible sheaves on Artin stacks locally of finite type over certain excellent schemes of finite Krull…
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Perverse t-structure on Artin stacks
In this paper we develop the theory of perverse sheaves on Artin stacks continuing our earlier study of lisse-étale sheaves on stacks in Laszlo and Olsson (The six operations for sheaves on Artin…
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Local structure of the moduli space of vector bundles over curves
We analyze the local structure of the moduli space of semi-stable bundles on a curve. In particular, a complete description of the local structure is given in the rank 2 case. We obtain as a…
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On the Hitchin morphism in positive characteristic
Let X be a smooth projective curve over a field of characteristic p > 0. We show that the Hitchin morphism, which associates to a Higgs bundle its characteristic polynomial, has a nontrivial…
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The action of the Frobenius map on rank 2 vector bundles in characteristic 2
Let $X$ be an ordinary smooth curve defined over an algebraically closed field of characteristic 2. The absolute Frobenius induces a rational map $F$ on the moduli space $M_X$ of rank 2 vector…
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The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3
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