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Computational Algebraic Geometry: Progress in Mathematics, cartea 109

Editat de Frederic Eyssette, Andre Galligo
en Limba Engleză Paperback – 16 sep 2011

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Specificații

ISBN-13: 9781461276524
ISBN-10: 1461276527
Pagini: 348
Ilustrații: X, 332 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.49 kg
Ediția:Softcover reprint of the original 1st ed. 1993
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Progress in Mathematics

Locul publicării:Boston, MA, United States

Public țintă

Research

Cuprins

Computation of Real Radicals of Polynomial Ideals.- Semialgebraic geometry of polynomial control problems.- The Resultant via a Koszul Complex.- Gröbner Bases and Standard Monomial Theory.- A Continuous and rational solution to Hubert’s 17th problem and several cases of the Positivstellensatz.- The analytic spread of the ideal of a monomial curve in projective 3-space.- Computational Complexity of Sparse Real Algebraic Function Interpolation.- Shade, Shadow and Shape.- Arrangements of singularities and proper partitions of Dynkin diagrams.- Versal deformations of powers of volume forms.- Computing subfields: Reverse of the primitive element problem.- Applications of Eisenbud-Levine’s theorem to real algebraic geometry.- Applications of Algebraic Geometry to Computer Vision.- Disproving Hibi’s Conjecture with CoCoA or Projective Curves with bad Hilbert Functions.- Counting real zeros in the multivariate case.- Finding the number of distinct real roots of sparse polynomials of the form p(x, xn).- Locally effective objects and algebraic topology.- Decision of Algebra Isomorphisms using Gröbner Bases.- Complexity of Bezout’s Theorem II: Volumes and Probabilities.- A Parametrized Nullstellensatz.- An Elimination Method Based on Seidenberg’s Theory and Its Applications.