Suppose X is a smooth projective complex variety. Let N1(X,Z) ⊂ H2(X,Z) and N1(X,Z) ⊂ H2(X,Z) denote the group of curve classes modulo homological equivalence and the Néron-Severi group respec-tively. The monoids of effective classes in each group generate cone
Let $S$ be a smooth algebraic surface in $mathbb{P}^3(mathbb{C})$. A curve $C$ in $S$ has a cohomolo...
Abstract. The dimensions of the graded quotients of the cohomology of a plane curve complement with ...
The Geometric Langlands Conjecture (GLC) for a curve \(C\) and a group \(G\) is a non-abelian genera...
Suppose X is a smooth projective complex variety. Let N1(X,Z) ⊂ H2(X,Z) and N1(X,Z) ⊂ H2(X,Z) denot...
We study the motive of the moduli spaces of semistable rank two vector bundles over an algebraic cu...
We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic...
On the moduli space of curves we consider the cohomology classes which can be viewed as a generaliz...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
16 pages ; one proof correctedGiven a morphism between complex projective varieties, we make several...
Abstract. Text of talk given at the Institut Henri Poincare ́ January 17th 2012, during program on s...
Let $X$ be a smooth projective complex curve and let $U_X(r,d)$ be the moduli space of semi-stable v...
We consider the parameter space ${\cal U}_d$ of smooth plane curves of degree $d$. The universal smo...
We describe in this thesis the dimensions of the graded quotients of the cohomology of a plane compl...
Given a compact Riemann surface C of genus g, n points on it, and n positive real numbers (2g−2+n>...
Hodge theory—one of the pillars of modern algebraic geometry—is a deep theory with many applications...
Let $S$ be a smooth algebraic surface in $mathbb{P}^3(mathbb{C})$. A curve $C$ in $S$ has a cohomolo...
Abstract. The dimensions of the graded quotients of the cohomology of a plane curve complement with ...
The Geometric Langlands Conjecture (GLC) for a curve \(C\) and a group \(G\) is a non-abelian genera...
Suppose X is a smooth projective complex variety. Let N1(X,Z) ⊂ H2(X,Z) and N1(X,Z) ⊂ H2(X,Z) denot...
We study the motive of the moduli spaces of semistable rank two vector bundles over an algebraic cu...
We prove that the integral Hodge conjecture holds for 1-cycles on irreducible holomorphic symplectic...
On the moduli space of curves we consider the cohomology classes which can be viewed as a generaliz...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective m...
16 pages ; one proof correctedGiven a morphism between complex projective varieties, we make several...
Abstract. Text of talk given at the Institut Henri Poincare ́ January 17th 2012, during program on s...
Let $X$ be a smooth projective complex curve and let $U_X(r,d)$ be the moduli space of semi-stable v...
We consider the parameter space ${\cal U}_d$ of smooth plane curves of degree $d$. The universal smo...
We describe in this thesis the dimensions of the graded quotients of the cohomology of a plane compl...
Given a compact Riemann surface C of genus g, n points on it, and n positive real numbers (2g−2+n>...
Hodge theory—one of the pillars of modern algebraic geometry—is a deep theory with many applications...
Let $S$ be a smooth algebraic surface in $mathbb{P}^3(mathbb{C})$. A curve $C$ in $S$ has a cohomolo...
Abstract. The dimensions of the graded quotients of the cohomology of a plane curve complement with ...
The Geometric Langlands Conjecture (GLC) for a curve \(C\) and a group \(G\) is a non-abelian genera...