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51	PERIODS AND MODULI OLIVIER DEBARRE Abstract. This text is an introduction, without proofs and by means of many examples, to some elementary aspects of the theory of period maps, period domains, and their relationship wit Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2012-09-23 09:53:30 Algebraic geometry Algebra Abstract algebra Algebraic curves Algebraic surfaces Moduli theory Hodge theory Projective variety Abelian variety Hodge structure Divisor Moduli space
52	¨ UNEXPECTED ISOMORPHISMS BETWEEN HYPERKAHLER FOURFOLDS OLIVIER DEBARRE Abstract. Using Verbitsky’s Torelli theorem, we show the existence of various isomorphisms between certain hyperk¨ Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2017-03-03 09:55:02 Topology Algebraic surfaces Geometry Algebraic geometry K3 surface Birational geometry Divisor Quartic surface Von Neumann algebra Hodge structure
53	Recent Progress in Linear Algebra and Lattice Basis Reduction Gilles Villard CNRS, ENS de Lyon, INRIA, UCBL, Université de Lyon Laboratoire LIP Add to Reading List Source URL: perso.ens-lyon.fr Language: English - Date: 2017-06-27 04:39:37 Mathematics Algebra Cryptography Computational number theory Lattice points Linear algebra Lattice-based cryptography Lattice reduction LenstraLenstraLovsz lattice basis reduction algorithm Hermite normal form Euclidean algorithm Integer relation algorithm
54	HYPERBOLICITY Colloquium – University of Michigan March 9, 2004 Olivier Debarre There exist several notions of hyperbolicity for compact complex varieties and I will try to explain what they are and how they are relate Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2006-01-10 13:48:42 Algebra Abstract algebra Geometry Algebraic geometry Vector bundles Algebraic varieties Projective geometry Bernhard Riemann Projective variety Kobayashi metric RiemannRoch theorem Canonical bundle
55	´ ´rieure Ecole Normale Supe ´eAnne Add to Reading List Source URL: www.math.ens.fr Language: French - Date: 2016-02-01 05:18:46
56	¨ HYPERKAHLER MANIFOLDS OLIVIER DEBARRE Abstract. The aim of these notes is to acquaint the reader with important objects in complex Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2018-10-04 04:14:37 Algebraic geometry Geometry Algebra Algebraic surfaces Birational geometry Algebraic curves Abelian varieties K3 surface Projective variety EnriquesKodaira classification Ample line bundle Enriques surface
57	HYPERBOLICITY OF COMPLEX VARIETIES OLIVIER DEBARRE These are notes written for the 2004 session of the PRAGMATIC conference, held in Catania, Italy, from August 25 to September 14, 2004. Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2011-08-29 09:42:05 Algebra Abstract algebra Topology Vector bundles Algebraic geometry Complex manifolds Sheaf theory Algebraic topology Ample line bundle Holomorphic vector bundle Coherent sheaf Divisor
58	PDF Document Add to Reading List Source URL: www.math.ens.fr - Date: 2013-09-02 04:33:36
59	´ ` DIRIGER DES RECHERCHES MEMOIRE D’HABILITATION A pr´esent´e le 30 mars 2018 Add to Reading List Source URL: perso.ens-lyon.fr Language: English - Date: 2018-03-28 08:26:25 Operations research Parallel computing Mathematics Planning Scheduling Mathematical optimization Algorithm Applied mathematics Graph partition
60	On the geometry of certain Fano threefolds Olivier DEBARRE Institut de Recherche Math´ ematique Avanc´ ee (IRMA) Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2007-05-07 12:44:04 Geometry Algebraic geometry Algebra Complex manifolds Riemannian geometry Fano variety Gino Fano Olivier Debarre Hermitian manifold Manifold Khler manifold