65 citations · 420 across the 91 of their papers we have counts for
6 papers · 1 filter
Weak Density of the Fundamental Group Scheme
Hélène Esnault, Vikram Mehta
On projective smooth over an algebraically closed field, we show that if Nori's fundamental group scheme is trivial, then there are no nontrivial Nori semistable bundles of deg…
On a rationality question in the Grothendieck ring of varieties
Hélène Esnault, Eckart Viehweg
This is a small note meant to be published in a Conference Proceedings. We discuss elementary rationality questions in the Grothendieck ring of varieties for the quotient of a fini…
On the homotopy exact sequence for Nori's fundamental group
Hélène Esnault, Phùng Hô Hai, Eckart Viehweg
Unlike Grothendieck's étale fundamental group, Nori's fundamental group does not fulfill the homotopy exact sequence in general. We give necessary and sufficient conditions which f…
Simply connected projective manifolds in characteristic have no nontrivial stratified bundles
Hélène Esnault, Vikram Mehta
We show that simply connected projective manifolds in characteristic have no nontrivial stratified bundles. This gives a positive answer to a conjecture by D. Gieseker. The p…
Two small remarks on Nori fundamental group scheme
Hélène Esnault, Phùng Hô Hai
For a complete, reduced, geometrically connected scheme over a perfect field of characteristic , we analyze the decomposition of Nori's fundamental group scheme into its l…
On abelian birational sections
Hélène Esnault, Olivier Wittenberg
For a smooth and geometrically irreducible variety X over a field k, the quotient of the absolute Galois group G_{k(X)} by the commutator subgroup of G_{\bar k(X)} projects onto G_…