2. Fundamental groups of curves over an algebraically closed field

– We give the best ranges of stability, for homology of orthogonal groups and special orthogonal groups, over an algebraically closed field, of characteristic different from 2..

In the same way that PRC fields generalize PAC fields, Artin-Schreier structures enrich Galois groups by taking into account the orderings.. The corresponding Artin-Schreier

In this paragraph we shall define the completion of an affine variety (non necessarly reduced), and of an algebraic prevariety.... We

Gauss maps of ordinary elliptic curves and curves of higher genus with a small number of cusps in projective spaces defined over an algebraically closed field

As a p-adic version of Gieseker’s conjecture, according to which if a smooth projective variety X over an algebraically closed field k has a trivial étale fundamental group,

— Given a finite p-group G acting on a smooth projective curve X over an algebraically closed field k of characteristic p, the dimension of the tangent space of the

Then the fundamental group of the quotient X := C 1 × · · · × C n /G by the diagonal action of G has a normal subgroup of finite index that is isomorphic to the product of n

On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic... On the group of purely inseparable points of an