On glueing curves on surfaces and zero cycles
The structure of the group of a surface with prescribed singularities is investigated.
On graded Bett numbers and geometrical properties of projective varieties.
On Harder-Narashimhan stratification over Quot schemes.
On homology classes represented by real algebraic varieties
On irreducible components of a Weierstrass-type variety
We give a characterization of the irreducible components of a Weierstrass-type (W-type) analytic (resp. algebraic, Nash) variety in terms of the orbits of a Galois group associated in a natural way to this variety. Since every irreducible variety of pure dimension is (locally) a component of a W-type variety, this description may be applied to any such variety.
On -very ampleness of tensor products of ample line bundles on abelian surfaces
On K-spanned embeddings of projectiv manifolds.
On l-adic sheaves on Shimura varieties and their higher direct images in the Baily-Borel compactification.
On l-independence of algebraic monodromy groups in compatible systems of representations.
On meromorphic functions defined by a differential system of order
Given a germ of holomorphic function on , we study the condition: “the ideal is generated by operators of order1”. We obtain here full characterizations in the particular cases of Koszul-free germs and unreduced germs of plane curves. Moreover, we prove that this condition holds for a special type of hyperplane arrangements. These results allow us to link this condition to the comparison of de Rham complexes associated with .
On microlocal -function
On minimal models of elliptic threefolds.
On moduli of -bundles of a curve for exceptional
On Newstaed' s conjecture on vector bundles on algebraic curves.
On non-commutative twisting in étale and motivic cohomology
This article confirms a consequence of the non-abelian Iwasawa main conjecture. It is proved that under a technical condition the étale cohomology groups , where is a smooth, projective scheme, are generated by twists of norm compatible units in a tower of number fields associated to . Using the “Bloch-Kato-conjecture” a similar result is proven for motivic cohomology with finite coefficients.
On overconvergent isocrystals and -isocrystals of rank one
On p-adic monodromy.
On periods and quasi-periods of Drinfeld modules
On projective manifolds with nef anticanonical bundles.
On rank two vector bundles on an algebraic surface.