5 papers · 1 filter
Cyclic p-groups and semi-stable reduction of curves in equal characteristic p>0
Mohamed Saidi
In this paper we study the semi-stable reduction of and -cyclic covers of curves in equal characteristic . The main tool we use is the classical Artin-Schreier-Witt t…
On complete families of curves with a given fundamental group in positive characteristic
Mohamed saidi
In this paper we prove that complete families of smooth and projective curves, of genusg>2, in characteristic p>0, with a constant geometric fundamental group, are isotrivial.
Torsors under finite and flat group schemes of rank p with Galois action
Mohamed saidi
In this note we study the geometry of torsors under flat and finite commutative group schemes of rank p above curves in characteristic p and above relative curves over a complete d…
Galois covers of degree p: semi-stable reduction and Galois action
Mohamed Saidi
In this paper we study the semi-stable reduction of Galois covers of degree p above semi-stable curves over a complete discrete valuation ring of inequal characteristics (0,p). We…
Wild ramification and a vanishing cycles formula
Mohamed Saidi
In this paper we prove an explicit formula which compares the dimensions of the spaces of vanishing cycles in a Galois cover of degree p between formal germ of curves over a comple…