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

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

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

Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–544) RESOLUTION OF SINGULARITIES OF COMPLEX ALGEBRAIC VARIETIES AND THEIR FAMILIES Dan Abramovich

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• Abstract algebra
• Algebra
• Geometry
• Algebraic geometry
• Resolution of singularities
• Blowing up
• Divisor
• Affine variety
• Birational geometry
• Exceptional divisor
• Proper morphism
• Algebraic variety

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

Source URL: www.math.ens.fr

• 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

Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–588) BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES Caucher Birkar

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• Algebraic geometry
• Geometry
• Algebra
• Birational geometry
• Caucher Birkar
• Kodaira dimension
• Minimal model program
• Fano variety
• Canonical bundle
• Projective variety
• Divisor
• Resolution of singularities

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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• Algebra
• Abstract algebra
• Algebraic geometry
• Niels Henrik Abel
• Algebraic varieties
• Homological algebra
• Abelian varieties
• Projective variety
• Divisor
• Picard group
• Sheaf
• Ample line bundle

arXiv:1301.2732v3 [math.AG] 3 FebVarieties with maximum likelihood degree one June Huh Abstract We show that algebraic varieties with maximum likelihood degree one are exactly the

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Kazhdan’s Theorem on Arithmetic Varieties J.S. Milne Abstract. Define an arithmetic variety to be the quotient of a bounded symmetric domain by an arithmetic group. An arithmetic variety is algebraic, and the theorem

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Characteristic numbers of algebraic varieties D. Kotschick1 Ludwig-Maximilians-Universita¨t Mu¨nchen, 80333 Munich, Germany Edited by Robion C. Kirby, University of California, Berkeley, CA, and approved May 1, 2009 (r

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COLLOQUIUM Metrics on algebraic varieties Prof. SIMON DONALDSON (Imperial College London, UK, and Simon Center for Geometry and Physics, US)

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