Articoli correlati a Computational Algebraic Geometry and Commutative Algebra
Sinossi
Computational methods are an established tool in algebraic geometry and commutative algebra, the key element being the theory of Gröbner bases.
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Descrizione del libro
Computational methods are an established tool in algebraic geometry and commutative algebra, the key element being the theory of Gröbner bases. This book represents the state of the art in computational algebraic geometry and encapsulates many of the most interesting trends and developments in the field.
Contenuti
Part I. Open problems and exposition of Gröbner bases: 1. What can be computed in algebraic geometry? Dave Bayer and David Mumford; 2. Open problems in computational algebraic geometry David Eisenbud; Part II. Surveys: 3. A computer assisted project: classification of algebras Th. Dana-Picard and M. Schaps; 4. Systems of algebraic equations (algorithms and complexity) D. Lazard; 5. Points in affine and projective spaces Teo Mora and Lorenzo Robbiano; 6. Constructions in commutative algebra Wolmer V. Vasconcelos; Part III. Research papers: 7. Gröbner bases and extensions of scalars Dave Bayer, Andre Galligo and Mike Stillman; 8. La determination des point insoles et de la dimension d'une variete algebrique pent se faire en temps polynomial Marc Giusti and Joos Heintz; 9. Arithmetically Cohen-Macaulay curves cut out by quadrics Sheldon Katz; 10. Sparse elimination theory Bernd Sturmfels.
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