2 citations · 3 across the 5 of their papers we have counts for
6 papers
A generalization of the Kuga-Satake construction
Claire Voisin
The Kuga-Satake construction associates to a K3 type polarized weight 2 Hodge structure H an abelian variety A such that H is a quotient Hodge structure of H^2(A). The first step i…
On the homotopy types of Kaehler manifolds and the birational Kodaira problem
Claire Voisin
We recently constructed examples of compact Kaeler manifolds which do not have the homotopy type of a projective complex manifold. They were however obtained by blowing-up certain…
Torsion cohomology classes and algebraic cycles on complex projective manifolds
C. Soule, C. Voisin
Atiyah and Hirzebruch gave examples ofeven degree torsion classes in the singularcohomology of a smooth complex projective manifold, which arenot Poincaré dual to an algebraiccycle…
A geometric application of Nori's connectivity theorem
Claire Voisin
We prove among other things that a general Calabi-Yau hypersurface in projective space is not rationally swept out by abelian varieties of dimension greater than or equal to 2.
K-correspondences and intrinsic pseudovolume forms
Claire Voisin
We introduce the notion of K-correspondence, and show that many Calabi-Yau varieties carry a lot of self-K-isocorrespondences, which furthermore satisfy the property of multiplying…
Appendix: On linear subspaces contained in the secant varieties of a projective curve
Claire Voisin
We show that the d-th secant variety of a projective curve of genus g imbedded in projective space by a complete linear system of degree 2g-2+m, with m at least 2d+3, does not cont…