Algorithms in Algebraic Geometry and Applications

01.06.1996

Englisch

9783764352745

Springer Basel

Progress in Mathematics

Nein

406

1996

Gebundene Ausgabe

143

Gröbner basis, Algebraic geometry, geometry, Computer, complexity, robotics, computer algebra, algorithms, Variable, Algebra, Arithmetic

PBMW - Algebraische Geometrie PB - Mathematik

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.- Gröbner 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.

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