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Olivier Debarre
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11	VARIETIES WITH VANISHING HOLOMORPHIC EULER CHARACTERISTIC JUNGKAI ALFRED CHEN, OLIVIER DEBARRE, AND ZHI JIANG 1. Introduction A (smooth complex projective) variety X is said to have maximal Albanese dimension Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2011-07-11 03:57:48 Algebra Abstract algebra Geometry Algebraic geometry Projective variety Cohomology Abelian variety Elliptic curve Resolution of singularities Birational geometry Chow group Morphism of algebraic varieties
12	FANO VARIETIES AND EPW SEXTICS OLIVIER DEBARRE Abstract. We explore a connection between smooth projective varieties X of dimension n with an ample divisor H such that H n = 10 and KX = −(n − 2)H and a class of sexti Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2015-12-04 04:27:18 Algebra Abstract algebra Algebraic geometry Algebraic varieties Hodge theory Invariant theory Algebraic surfaces Projective variety Birational geometry Fano variety Hodge structure Moduli space
13	MODULI SPACES FOR CERTAIN FANO VARIETIES OLIVIER DEBARRE Abstract. It is yet unknown whether quasiprojective moduli spaces exist for all Fano varieties with finite automorphism groups. In this talk, we will describe a cl Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2014-03-30 09:31:34 Geometry Algebra Abstract algebra Algebraic geometry Fano variety Projective variety Hyperelliptic curve Moduli space DeligneMumford stack Hypersurface Ample line bundle Stack
14	BEND AND BREAK∗ Olivier Debarre June 25, 2007 Contents 1 Rational curves Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2007-06-25 17:48:03 Geometry Algebraic geometry Algebra Birational geometry Algebraic varieties Vector bundles Cone of curves Minimal model program Divisor Ample line bundle Projective variety Rational point
15 $RATIONALITÉ DES VARIÉTÉS ALGÉBRIQUES OLIVIER DEBARRE Résumé. On cherche à paramétrer les solutions, dans un corps K contenant Q, d’une équation polynomiale en n variables à coefficients dans K, par des fracti$	RATIONALITÉ DES VARIÉTÉS ALGÉBRIQUES OLIVIER DEBARRE Résumé. On cherche à paramétrer les solutions, dans un corps K contenant Q, d’une équation polynomiale en n variables à coefficients dans K, par des fracti Add to Reading List Source URL: www.math.ens.fr Language: French - Date: 2018-05-18 22:36:39
16	QUADRATIC LINE COMPLEXES OLIVIER DEBARRE Abstract. In this talk, a quadratic line complex is the intersection, in its Pl¨ ucker embedding, of the Grassmannian of lines in an 4-dimensional projective space with a quadric Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2013-09-14 04:31:01 Algebra Abstract algebra Geometry Projective geometry Algebraic surfaces Polynomials Quadratic forms Algebraic geometry Quadric Projective variety Discriminant Sextic equation
17	CONES OF HIGHER-CODIMENSIONAL CYCLES OLIVIER DEBARRE July 14, 2010 This is joint work with L. Ein, R. Lazarsfeld, and C. Voisin (eprint arXiv:, to appear in Compos. Math.). Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2010-07-14 05:23:13 Algebra Geometry Abstract algebra Algebraic geometry Algebraic varieties Convex geometry Divisor Nef line bundle Projective variety Abelian variety Convex cone Ample line bundle
18	A NEW FAMILY OF SYMPLECTIC FOURFOLDS OLIVIER DEBARRE This is joint work with Claire Voisin. 1. Irreducible symplectic varieties It follows from work of Beauville and Bogomolov that any smooth Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2009-12-04 07:35:13 Geometry Algebra Abstract algebra Algebraic geometry Differential geometry Birational geometry Hilbert scheme Moduli theory Scheme theory Hodge theory Kodaira dimension Hodge structure
19	On the geometry of abelian varieties Olivier Debarre ´matique Avance ´e, UniverInstitut de recherche Mathe ´ Louis Pasteur et CNRS, 7 rue Rene Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2008-04-02 07:33:37 Algebra Abstract algebra Geometry Algebraic geometry Abelian variety Divisor Variety Algebraic variety Cohomology Coherent sheaf Projective variety Morphism of algebraic varieties
20	Cubic fourfolds Prime Fano fourfolds of degree 10 and index 2 On some Fano fourfolds Olivier DEBARRE Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2013-02-21 22:45:35 Algebra Abstract algebra Algebraic varieties Algebraic geometry Birational geometry Field theory Rational variety Cubic form