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

Source URL: www.math.ens.fr

• 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

Rational curves on algebraic varieties ——————– Lecture notes for the GAeL XVIII conference Coimbra, Portugal – June 6-11, 2010 and for the Semaine sp´eciale Master de math´ematiques

Source URL: www.math.ens.fr

• Abstract algebra
• Algebra
• Algebraic geometry
• Geometry
• Birational geometry
• Divisor
• Projective variety
• Ample line bundle
• Rational mapping
• Scheme
• Morphism
• Resolution of singularities

Formal Analysis of Key Management APIs Graham Steel INRIA & LSV, ENS de Cachan 1/48

Source URL: dream.inf.ed.ac.uk

• Cryptography
• Pyruvate dehydrogenase lipoamide kinase isozyme 1
• Key management
• Digital signature
• Key

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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• Geometry
• Algebra
• Abstract algebra
• Algebraic geometry
• Analytic number theory
• Algebraic surfaces
• String theory
• Complex manifolds
• Hodge theory
• Projective variety
• Hodge structure
• K3 surface

On Computing the Resultant of Generic Bivariate Polynomials Gilles Villard Univ Lyon, CNRS, ENS de Lyon, Inria, Université Claude Bernard Lyon 1, LIP UMR 5668, FLyon, France ABSTRACT An algorithm is presented for

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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

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• Algebraic geometry
• Geometry
• Abstract algebra
• Algebraic curves
• Divisor
• Projective variety
• Theta divisor
• Abelian variety
• Prym variety
• Resolution of singularities
• Ample line bundle
• Hyperelliptic curve

´ ´rieure Ecole Normale Supe ´eAnne

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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

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• Algebra
• Abstract algebra
• Geometry
• Algebraic geometry
• Hodge theory
• Birational geometry
• Cohomology
• Hodge structure
• Fano variety
• Projective variety
• Sheaf

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

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• Algebra
• Abstract algebra
• Geometry
• Algebraic geometry
• Projective variety
• Cohomology
• Abelian variety
• Elliptic curve
• Resolution of singularities
• Birational geometry
• Chow group
• Morphism of algebraic varieties

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

Source URL: www.math.ens.fr

• Algebra
• Abstract algebra
• Algebraic geometry
• Algebraic varieties
• Hodge theory
• Invariant theory
• Algebraic surfaces
• Projective variety
• Birational geometry
• Fano variety
• Hodge structure
• Moduli space