The algebraic topology of smooth algebraic varieties
The average distribution of cubic exponential sums.
The Formal Hodge Filtration.
The generalized Hodge and Bloch conjectures are equivalent for general complete intersections
We prove that Bloch’s conjecture is true for surfaces with obtained as -sets of a section of a very ample vector bundle on a variety with “trivial” Chow groups. We get a similar result in presence of a finite group action, showing that if a projector of the group acts as on holomorphic -forms of , then it acts as on -cycles of degree of . In higher dimension, we also prove a similar but conditional result showing that the generalized Hodge conjecture for general implies the...
The generalized Hodge conjecture for stably nondegenerate abelian varieties
The Hodge Conjecture for a Certain Class of Fourfolds.
The hodge conjecture for cubic fourfolds
The Hodge Conjecture for Fermat Varieties.
The Hodge Conjecture for Fourfolds Admitting a Covering by Rational Curves.
The Hodge Structure of the Intersection of Three Quadrics in an Odd Dimensional Pojective Space.
The Hodge theory of algebraic maps
The infinitesimal and generalized Hodge Conjecture for some families of sextic threefolds.
The Infinitesimal Torelli Problem for Zero Sets of Sections of Vector Bundles.
The local monodromy as a generalized algebraic correspondence (with an appendix by Spencer Bloch).
The Moduli Space of 3-Folds with K = 0 may Nevertheless be Irreducible.
The Monodromy Weight Filtration for a Several Variables Degeneration of Hodge Structures of Weight Two.
The Neron model for families of intermediate jacobians acquiring “algebraic” singularities
The Néron-Severi group and the mixed Hodge structure on H2.
The one-motif of an algebraic surface
The period map for hypersurface sections of high degree of an arbitrary variety