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… Expand

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].

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… Expand

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… Expand

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… Expand

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… Expand

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… Expand