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Olivier Debarre
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31	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: 2012-10-01 08:48:06 Geometry Abstract algebra Algebra Algebraic geometry Hodge theory Projective variety Hodge structure K3 surface Elliptic curve Algebraic variety Khler manifold Differential forms on a Riemann surface
32	CURVES OF LOW DEGREES IN FANO VARIETIES OLIVIER DEBARRE Abstract. We work over the complex numbers. Fano manifolds are smooth projective varieties whose canonical bundle is antiample. In dimensions at most 3, they are al Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2014-06-03 17:41:05 Abstract algebra Algebra Geometry Algebraic geometry Fano variety Birational geometry Divisor Projective variety Coherent sheaf Hodge structure Cohomology Ample line bundle
33	Rational curves on hypersurfaces ——————– Olivier Debarre 2016 Contents Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2018-06-05 11:56:45 Geometry Abstract algebra Algebra Algebraic geometry Projective geometry Algebraic varieties Projective variety Rational point Fano variety Hypersurface Birational geometry Degree of an algebraic variety
34	Sur les surfaces K3 et les variétés hyperkählériennes 7th Swiss-French workshop in Algebraic Geometry Charmey, Suisse Janvier 2018 Olivier Debarre Add to Reading List Source URL: www.math.ens.fr Language: French - Date: 2018-01-14 11:10:58
35	Curves of low degrees on Fano varieties Olivier Debarre ? D´epartement de Math´ematiques et Applications – CNRS UMR 8553 Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2012-10-31 10:48:38 Algebra Abstract algebra Geometry Algebraic geometry Birational geometry Projective variety Fano variety Divisor Smooth scheme Algebraic curve Chow group Coherent sheaf
36	POLYTOPES ET POINTS ENTIERS par Olivier Debarre Table des mati` eres Add to Reading List Source URL: www.math.ens.fr Language: French - Date: 2016-07-23 08:20:35
37	TWO OR THREE THINGS I KNOW ABOUT ABELIAN VARIETIES OLIVIER DEBARRE Abstract. We discuss, mostly without proofs, classical facts about abelian varieties (proper algebraic groups defined over a field). The general theory i Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2017-04-20 11:30:32 Algebra Abstract algebra Algebraic geometry Niels Henrik Abel Algebraic varieties Homological algebra Abelian varieties Projective variety Divisor Picard group Sheaf Ample line bundle
38	Fano varieties and polytopes Olivier DEBARRE ————— The Fano Conference ————— Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2006-09-22 07:39:02 Geometry Algebra Abstract algebra Algebraic geometry Fano variety Toric variety Projective variety Duality Ample line bundle Divisor Canonical bundle Normal polytope
39	INTRODUCTION TO MORI THEORY Cours de M2 – Universit´e Paris Diderot Olivier Debarre March 11, 2016 Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2016-03-11 08:55:35 Geometry Algebraic geometry Algebra Cone of curves Projective variety Divisor Fano variety Adjunction formula Minimal model program Birational geometry Nef line bundle Ample line bundle
40	Surfaces K3 Cours de M2 École normale supérieure Printemps 2018 Olivier Debarre Add to Reading List Source URL: www.math.ens.fr Language: French - Date: 2018-04-19 14:26:23