Algorithms in Algebraic Geometry and Applications -

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Résumé :
Zeros, multiplicities, and idempotents for zero-dimensional systems.- On a conjecture of C. Berenstein and A. Yger.- Computation of the splitting fields and the Galois groups of polynomials.- How to compute the canonical module of a set of points.- Multivariate Bezoutians, Kronecker symbol and Eisenbud-Levine formula.- Some effective methods in pseudo-linear algebra.- Gr?bner basis and characteristically nilpotent filiform Lie algebras of dimension 10.- Computing multidimensional residues.- The arithmetic of hyperelliptic curves.- Viro's method and T-curves.- A computational method for diophantine approximation.- An effective method to classify nilpotent orbits.- Some algebraic geometry problems arising in the field of mechanism theory.- Enumeration problems in geometry, robotics and vision.- Mixed monomial bases.- The complexity and enumerative geometry of aspect graphs of smooth surfaces.- Aspect graphs of bodies of revolution with algorithms of real algebraic geometry.- Computational conformal geometry.- An algorithm and bounds for the real effective Nullstellensatz in one variable.- Solving zero-dimensional involutive systems....

Sommaire:
Zeros, multiplicities, and idempotents for zero-dimensional systems.- On a conjecture of C. Berenstein and A. Yger.- Computation of the splitting fields and the Galois groups of polynomials.- How to compute the canonical module of a set of points.- Multivariate Bezoutians, Kronecker symbol and Eisenbud-Levine formula.- Some effective methods in pseudo-linear algebra.- Gr?bner basis and characteristically nilpotent filiform Lie algebras of dimension 10.- Computing multidimensional residues.- The arithmetic of hyperelliptic curves.- Vir?s method and T-curves.- A computational method for diophantine approximation.- An effective method to classify nilpotent orbits.- Some algebraic geometry problems arising in the field of mechanism theory.- Enumeration problems in geometry, robotics and vision.- Mixed monomial bases.- The complexity and enumerative geometry of aspect graphs of smooth surfaces.- Aspect graphs of bodies of revolution with algorithms of real algebraic geometry.- Computational conformal geometry.- An algorithm and bounds for the real effective Nullstellensatz in one variable.- Solving zero-dimensional involutive systems.