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4 papers · 1 filter
Eigencones and the PRV conjecture
Nicolas Ressayre
Let be a complex semisimple simply connected algebraic group. Given two irreducible representations and of , we are interested in some components of $V_1\otimes…
Multiplicative formulas in Cohomology of and in quiver representations
Nicolas Ressayre
Consider a partial flag variety which is not a grassmaninan. Consider also its cohomology ring ${\rm H}^*(X,\ZZ)$ endowed with the base formed by the Poincaré dual classes of t…
Foncteur de Picard d'un champ algébrique
Sylvain Brochard
In this article we study the Picard functor and the Picard stack of an algebraic stack. We give a new and direct proof of the representability of the Picard stack. We prove that it…
A smooth counterexample to Nori's conjecture on the fundamental group scheme
Christian Pauly
We show that Nori's fundamental group scheme π(X,x) does not base change correctly under extension of the base field for certain smooth projective ordinary curves X of genus 2 defi…