On some polynomials allegedly related to the abc conjecture
On square values of quadratics
On squares of squares II
On Stable and Uniform Rank-2 Vector Bundles on P2 in Characteristic p.
On Stöhr-Voloch's proof of Weil's Theorem.
On subfields of
On supercuspidal families of curves on a surface in positive characteristic.
On systems of linear inequalities
We show in detail that the category of general Roth systems or the category of semi-stable systems of linear inequalities of slope zero is a neutral Tannakian category. On the way, we present a new proof of the semi-stability of the tensor product of semi-stable systems. The proof is based on a numerical criterion for a system of linear inequalities to be semi-stable.
On Teichmüller modular forms.
On the Action of the Frobenius Automorphism on the Pro-l Fundamental Group.
On the ?-adic representations associated to some simple Shimura varieties.
On the adjunction mapping for surfaces of Kodaira dimension ... 0 in Char.p.
On the adjunction process over a surface in char p.
On the adjunction process over a surface in char. p II: the singular case.
On the analogue of the division polynomials for hyperelliptic curves.
On the arithmetic Chern character
We consider a short sequence of hermitian vector bundles on some arithmetic variety. Assuming that this sequence is exact on the generic fiber we prove that the alternated sum of the arithmetic Chern characters of these bundles is the sum of two terms, namely the secondary Bott Chern class of the sequence and its Chern character with support on the finite fibers.Next, we compute these classes in the situation encountered by the second author when proving a “Kodaira vanishing theorem” for arithmetic...
On the Arithmetic of Abelian Varieties.
On the arithmetic of an elliptic curve over a -extension
On the arithmetic of genus two fibrations
On the arithmetic of J0 (N) new.