The six operations for sheaves on Artin stacks II: Adic coefficients
The spectral sequence relating algebraic K-theory to motivic cohomology
The Stable Adjunction Map on Gorenstein Varieties.
The structure of Gauss-like maps
The subbundles of decomposable vector bundles over on elliptic curve.
Let C be an elliptic curve and E, F polystable vector bundles on C such that no two among the indecomposable factors of E + F are isomorphic. Here we give a complete classification of such pairs (E,F) such that E is a subbundle of F.
The syntomic regulator for the K-theory of fields
The tame fundamental group of an abelian variety and integral points
The Tangent Bundle of a Ruled Surface.
The tangent complex to the Bloch-Suslin complex
Motivated by a renewed interest for the “additive dilogarithm” appeared recently, the purpose of this paper is to complete calculations on the tangent complex to the Bloch-Suslin complex, initiated a long time ago and which were motivated at the time by scissors congruence of polyedra and homology of . The tangent complex to the trilogarithmic complex of Goncharov is also considered.
The Tangent Space at a special symplectic instanton bunle on P2n+1.
The Theorem of Grauert-Mülich-Spindler.
The topological Hawaiian earring group does not embed in the inverse limit of free groups.
The topology of conjugate varieties.
The topology of rational points.
The trace formula for equivariant D-modules and perverse sheaves.
The universal rank-(n-1) bundle on G(i,n) restricted to subvarieties.
We classify those smooth (n-1)-folds in G(1,Pn) for which the restriction of the rank-(n-1) universal bundle has more than n+1 independent sections. As an application, we classify also those (n-1)-folds for which that bundle splits.
The vanishing invariants in intersection homology of complex spaces
The vanishing of the cohomology of the Orlik-Solomon algebras.
The variety of an indecomposable module is connected.
The weak 1-positivity of direct image sheaves.