N◦ d’ordre : 407 UNIVERSITÉ BLAISE PASCAL, Clermont-Ferrand Laboratoire de Mathématiques, UMR CNRS-UBPMÉMOIRE D’HABILITATION À DIRIGER DES RECHERCHES EN

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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

Laboratoire de mathématiques, UMR 6620 Publications 2015 CNRS & université Blaise Pascal Publications de l’UMR 6620

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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

(Microsoft Word - Hölzer wissenschaftliche Namen alphabetisch Tabelle_FR)

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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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Geometry & Topology–K –duality for stratified pseudomanifolds C LAIRE D EBORD

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• Mathematics
• Algebra
• Abstract algebra
• Differential geometry
• Symmetry
• Algebraic structures
• Category theory
• Homotopy theory
• Groupoid
• Lie algebroid
• Lie groupoid
• Group action

doi:j.crma

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What is iterative refinement How to use iterative refinement to verify a computed result? Influence of the computing precision Conclusion and future work Iterative refinement:

Source URL: www.lix.polytechnique.fr

• Mathematical analysis
• Numerical analysis
• Mathematics
• Numerical linear algebra
• Root-finding algorithms
• Iterative refinement
• Residual
• Newton's method
• Pi
• Approximations of
• Gradient descent
• Mathematical optimization

INDEX THEORY AND GROUPOIDS CLAIRE DEBORD AND JEAN-MARIE LESCURE Abstract. These lecture notes are mainly devoted to a proof using groupoids and KK-theory of Atiyah and Singer’s index theorem on compact smooth manifolds

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• Algebra
• Mathematics
• Abstract algebra
• Homotopy theory
• Category theory
• Algebraic structures
• Differential geometry
• Algebraic topology
• Groupoid
• Lie algebroid
• Group action
• Equivalence relation