Add to ORKG16 pages ; one proof correctedGiven a morphism between complex projective varieties, we make several conjectures on the relations between the set of pseudo-effective (co)homology classes which are annihilated by pushforward and the set of classes of varieties contracted by the morphism. We prove these conjectures for classes of curves or divisors. We also prove that one of these conjectures implies Grothendieck's generalized Hodge conjecture for varieties with Hodge coniveau at least 1
In this paper, we develop a theory of pseudo-effective sheaves on normalprojective varieties. As an ...
International audienceA homotopical treatment of intersection cohomology recently developed by Chata...
Consider the curves on the (x; y)-plane parametrized by ¸ and given by the equation, y2 = x5 ¡ 5¸x+ ...
16 pages ; one proof correctedGiven a morphism between complex projective varieties, we make several...
International audienceWe prove that a holomorphic line bundle on a projective manifold is pseudo-eff...
For a smooth complex projective variety X, let N^p the subspace of the cohomology space H^i(X, Q) of...
We discuss a couple of problems concerning the pseudoeffective cone of a projective variety. In the ...
AbstractThe aim of this paper is to prove a generalization of a theorem of Rao for families of space...
Suppose X is a smooth projective complex variety. Let N1(X,Z) ⊂ H2(X,Z) and N1(X,Z) ⊂ H2(X,Z) denot...
Abstract. We study the behavior of Hodge-theoretic genera under morphisms of complex algebraic varie...
AbstractWe discuss an algorithm computing the push-forward to projective space of several classes as...
Abstract. We study projectivizations of a special class of toric vector bundles that in-cludes cotan...
International audienceAbstract We study the cones of pseudoeffective and nef cycles of higher codime...
The goal of this paper is first of all to propose a strategy to attack the generalized Hodge conject...
The purpose of this note is to propose and motivate a conjecture on the behavior of cohomological su...
In this paper, we develop a theory of pseudo-effective sheaves on normalprojective varieties. As an ...
International audienceA homotopical treatment of intersection cohomology recently developed by Chata...
Consider the curves on the (x; y)-plane parametrized by ¸ and given by the equation, y2 = x5 ¡ 5¸x+ ...
16 pages ; one proof correctedGiven a morphism between complex projective varieties, we make several...
International audienceWe prove that a holomorphic line bundle on a projective manifold is pseudo-eff...
For a smooth complex projective variety X, let N^p the subspace of the cohomology space H^i(X, Q) of...
We discuss a couple of problems concerning the pseudoeffective cone of a projective variety. In the ...
AbstractThe aim of this paper is to prove a generalization of a theorem of Rao for families of space...
Suppose X is a smooth projective complex variety. Let N1(X,Z) ⊂ H2(X,Z) and N1(X,Z) ⊂ H2(X,Z) denot...
Abstract. We study the behavior of Hodge-theoretic genera under morphisms of complex algebraic varie...
AbstractWe discuss an algorithm computing the push-forward to projective space of several classes as...
Abstract. We study projectivizations of a special class of toric vector bundles that in-cludes cotan...
International audienceAbstract We study the cones of pseudoeffective and nef cycles of higher codime...
The goal of this paper is first of all to propose a strategy to attack the generalized Hodge conject...
The purpose of this note is to propose and motivate a conjecture on the behavior of cohomological su...
In this paper, we develop a theory of pseudo-effective sheaves on normalprojective varieties. As an ...
International audienceA homotopical treatment of intersection cohomology recently developed by Chata...
Consider the curves on the (x; y)-plane parametrized by ¸ and given by the equation, y2 = x5 ¡ 5¸x+ ...