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Olivier Debarre
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1	La propri´et´e de la diagonale Olivier Debarre 17 octobre 2007 R´esum´e. Pragacz, Srinivas et Pati ´etudient dans une pr´epublication ´electronique de 2006 les vari´et´es alg´ebriques X qui satisfont ce qu’il Add to Reading List Source URL: www.math.ens.fr Language: French - Date: 2007-10-17 09:39:33
2	Introduction ` a la g´ eom´ etrie alg´ ebrique Olivier Debarre Add to Reading List Source URL: www.math.ens.fr Language: French - Date: 2010-01-26 13:44:06
3	Characterizations of the complex projective space Cohomological tori Fake projective spaces and fake tori Olivier DEBARRE ´ Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2016-10-18 08:01:24 Algebra Abstract algebra Geometry Algebraic geometry Projective geometry Complex manifolds Algebraic varieties Vector bundles Hodge theory Cohomology Fano variety Projective space
4	Sur la topologie des vari´et´es alg´ebriques complexes Olivier DEBARRE ————— Grenoble, le 26 octobre 2006 Add to Reading List Source URL: www.math.ens.fr Language: French - Date: 2014-12-12 07:16:12
5	Olivier Debarre ALGÈBRE 2 ÉCOLE NORMALE SUPÉRIEURE 2012–2013 Add to Reading List Source URL: www.math.ens.fr Language: French - Date: 2014-02-20 05:16:29
6	ON PRIME FANO VARIETIES OF DEGREE 10 AND COINDEX 3 OLIVIER DEBARRE Abstract. We discuss the period maps of certain (complex) Fano fourfolds. The first part of this talk deals with cubic fourfolds. We recall their Hodge s Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2012-09-27 08:04:23 Abstract algebra Algebra Geometry Algebraic geometry Algebraic surfaces Hodge theory Projective geometry Birational geometry Fano variety Hodge conjecture Divisor Hodge structure
7	HOW TO CLASSIFY FANO VARIETIES? OLIVIER DEBARRE Abstract. We review some of the methods used in the classification of Fano varieties and the description of their birational geometry. Mori theory brought important simplif Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2014-04-10 04:37:56 Geometry Algebraic geometry Algebra Fano variety Birational geometry Divisor Projective variety Morphism of algebraic varieties Ample line bundle Minimal model program Canonical bundle Fano surface
8	PERIODS OF ALGEBRAIC VARIETIES OLIVIER DEBARRE Abstract. The periods of a compact complex algebraic manifold X are the integrals of its holomorphic 1-forms over paths. These integrals are in general not well-defined, but Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2014-03-12 09:48:30 Geometry Algebra Abstract algebra Algebraic geometry Analytic number theory Algebraic surfaces String theory Complex manifolds Hodge theory Projective variety Hodge structure K3 surface
9	Singularities of divisors on abelian varieties Olivier Debarre March 20, 2006 This is joint work with Christopher Hacon. We work over the complex numbers. Let D be an effective divisor on an abelian variety A of dimensio Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2006-03-20 04:52:30 Algebraic geometry Geometry Abstract algebra Algebraic curves Divisor Projective variety Theta divisor Abelian variety Prym variety Resolution of singularities Ample line bundle Hyperelliptic curve
10	ON PRIME FANO VARIETIES OF DEGREE 10 AND COINDEX 3 OLIVIER DEBARRE Abstract. According to Gushel and Mukai, most Fano varieties of degree 10, dimension n, and coindex 3 (index n−2) are obtained as linear sections of th Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2012-09-23 11:18:43 Algebra Abstract algebra Geometry Algebraic geometry Hodge theory Birational geometry Cohomology Hodge structure Fano variety Projective variety Sheaf