The -adic local monodromy theorem for fake annuli
The Picard Group of a Quasi-Bundle.
The Positvity of the Chern Classes of an Ample Vector Bundle.
The projectivity of the moduli space of stable curves, II: The stacks M...
The projectivity of the moduli space of stable curves, III: The line bundles on M..., and a proof of the projectivity of M... in characteristic 0.
The Quadratic Schur Subgroup over Local and Global Fields.
The rank of étale cohomology of varieties over -adic or number fields
The rational homotopy theory of smooth, complex projective varieties
The reciprocity obstruction for rational points on compactifications of torsors under tori over fields with global duality.
The relative Riemann-Roch theorem from Hochschild homology.
The scheme of morphisms from an elliptic curve to a Grassmannian
The six operations for sheaves on Artin stacks I: Finite coefficients
In this paper we develop a theory of Grothendieck’s six operations of lisse-étale constructible sheaves on Artin stacks locally of finite type over certain excellent schemes of finite Krull dimension. We also give generalizations of the classical base change theorems and Kunneth formula to stacks, and prove new results about cohomological descent for unbounded complexes.
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.