Computational Algebraic Geometry
Birkhauser Boston Inc (Verlag)
978-0-8176-3678-4 (ISBN)
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Computation of Real Radicals of Polynomial Ideals.- Semialgebraic geometry of polynomial control problems.- The Resultant via a Koszul Complex.- Grobner 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 Grobner Bases.- Complexity of Bezout's Theorem II: Volumes and Probabilities.- A Parametrized Nullstellensatz.- An Elimination Method Based on Seidenberg's Theory and Its Applications.
| Reihe/Serie | Progress in Mathematics ; 109 |
|---|---|
| Zusatzinfo | biography |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 645 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 0-8176-3678-1 / 0817636781 |
| ISBN-13 | 978-0-8176-3678-4 / 9780817636784 |
| Zustand | Neuware |
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