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About G -bundles over elliptic curves

Yves Laszlo — 1998

Annales de l'institut Fourier

Let G be a complex algebraic group, simple and simply connected, T a maximal torus and W the Weyl group. One shows that the coarse moduli space M G ( X ) parametrizing S -equivalence classes of semistable G -bundles over an elliptic curve X is isomorphic to [ Γ ( T ) Z X ] / W . By a result of Looijenga, this shows that M G ( X ) is a weighted projective space.

The six operations for sheaves on Artin stacks I: Finite coefficients

Yves LaszloMartin Olsson — 2008

Publications Mathématiques de l'IHÉS

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 dimension. We also give generalizations of the classical base change theorems and Kunneth formula to stacks, and prove new results about cohomological descent for unbounded complexes.

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