Olivier Debarre

Results: 44



#Item
31Geometry / 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

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

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Language: English - Date: 2012-10-01 08:48:06
32Abstract algebra / Algebra / Geometry / Algebraic geometry / Fano variety / Birational geometry / Divisor / Projective variety / Coherent sheaf / Hodge structure / Cohomology / Ample line bundle

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

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Language: English - Date: 2014-06-03 17:41:05
33Geometry / Abstract algebra / Algebra / Algebraic geometry / Projective geometry / Algebraic varieties / Projective variety / Rational point / Fano variety / Hypersurface / Birational geometry / Degree of an algebraic variety

Rational curves on hypersurfaces ——————– Olivier Debarre 2016 Contents

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Language: English - Date: 2018-06-05 11:56:45
34

Sur les surfaces K3 et les variétés hyperkählériennes 7th Swiss-French workshop in Algebraic Geometry Charmey, Suisse Janvier 2018 Olivier Debarre

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Language: French - Date: 2018-01-14 11:10:58
    35Algebra / Abstract algebra / Geometry / Algebraic geometry / Birational geometry / Projective variety / Fano variety / Divisor / Smooth scheme / Algebraic curve / Chow group / Coherent sheaf

    Curves of low degrees on Fano varieties Olivier Debarre ? D´epartement de Math´ematiques et Applications – CNRS UMR 8553

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    Language: English - Date: 2012-10-31 10:48:38
    36

    POLYTOPES ET POINTS ENTIERS par Olivier Debarre Table des mati` eres

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    Language: French - Date: 2016-07-23 08:20:35
      37Algebra / Abstract algebra / Algebraic geometry / Niels Henrik Abel / Algebraic varieties / Homological algebra / Abelian varieties / Projective variety / Divisor / Picard group / Sheaf / Ample line bundle

      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

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      Language: English - Date: 2017-04-20 11:30:32
      38Geometry / Algebra / Abstract algebra / Algebraic geometry / Fano variety / Toric variety / Projective variety / Duality / Ample line bundle / Divisor / Canonical bundle / Normal polytope

      Fano varieties and polytopes Olivier DEBARRE ————— The Fano Conference —————

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      Language: English - Date: 2006-09-22 07:39:02
      39Geometry / Algebraic geometry / Algebra / Cone of curves / Projective variety / Divisor / Fano variety / Adjunction formula / Minimal model program / Birational geometry / Nef line bundle / Ample line bundle

      INTRODUCTION TO MORI THEORY Cours de M2 – Universit´e Paris Diderot Olivier Debarre March 11, 2016

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      Language: English - Date: 2016-03-11 08:55:35
      40

      Surfaces K3 Cours de M2 École normale supérieure Printemps 2018 Olivier Debarre

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      Language: French - Date: 2018-04-19 14:26:23
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