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Effective Methods in Algebraic Geometry

  • Book
  • © 1991

Overview

Editors:
  1. Teo Mora

    1. Dipartimento de Matematica, Università di Genova, Genova, Italy

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    You can also search for this editor in PubMed   Google Scholar

  2. Carlo Traverso

    1. Dipartimento de Matematica, Università di Pisa, Pisa, Italy

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Mathematics (PM, volume 94)

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Table of contents (33 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. On Lack of Effectiveness in Semi-algebraic Geometry

    • Riccardo Benedetti
    Pages 1-10

  3. A simple constructive proof of Canonical Resolution of Singularities

    • Edward Bierstone, Pierre D. Milman
    Pages 11-30

  4. Local Membership Problems for Polynomial Ideals

    • Leandro Caniglia, Jorge A. Guccione, Juan J. Guccione
    Pages 31-45

  5. Un Algorithme pour le Calcul des Résultants

    • Marc Chardin
    Pages 47-62

  6. On algorithms for real algebraic plane curves

    • Felipe Cucker, Laureano González Vega, Francesc Rossello
    Pages 63-87

  7. Duality methods for the membership problem

    • Alicia Dickenstein, Carmen Sessa
    Pages 89-103

  8. Exemples d’ensembles de Points en Position Uniforme

    • André Galligo
    Pages 105-117

  9. Efficient Algorithms and Bounds for Wu-Ritt Characteristic Sets

    • Giovanni Gallo, Bhubaneswar Mishra
    Pages 119-142

  10. Noetherian Properties and Growth of some Associative Algebras

    • Tatiana Gateva-Ivanova
    Pages 143-158

  11. Codes and Elliptic Curves

    • Gerard van der Geer
    Pages 159-168

  12. Algorithmes – disons rapides – pour la décomposition d’une variété algébrique en composantes irréductibles et équidimensionnelles

    • Marc Giusti, Joos Heintz
    Pages 169-194

  13. Complexity of Solving Systems of Linear Equations over the Rings of Differential Operators

    • Dimitri Yu. Grigor’ev
    Pages 195-202

  14. Membership problem, Representation problem and the Computation of the Radical for one-dimensional Ideals

    • Teresa Krick, Alessandro Logar
    Pages 203-216

  15. On the Complexity of Zero-dimensional Algebraic Systems

    • Y. N. Lakshman, Daniel Lazard
    Pages 217-225

  16. A Single Exponential Bound on the Complexity of Computing Gröbner Bases of Zero Dimensional Ideals

    • Y. N. Lakshman
    Pages 227-234

  17. Algorithms for a Multiple Algebraic Extension

    • Lars Langemyr
    Pages 235-248

  18. Elementary constructive theory of ordered fields

    • Henri Lombardi, Marie-Françoise Roy
    Pages 249-262

  19. Effective real Nullstellensatz and variants

    • Henri Lombardi
    Pages 263-288

  20. Algorithms for the Solution of Systems of Linear Equations in Commutative Rings

    • Gennadi I. Malashonok
    Pages 289-298
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Keywords

About this book

The symposium "MEGA-90 - Effective Methods in Algebraic Geome­ try" was held in Castiglioncello (Livorno, Italy) in April 17-211990. The themes - we quote from the "Call for papers" - were the fol­ lowing: - Effective methods and complexity issues in commutative algebra, pro­ jective geometry, real geometry, algebraic number theory - Algebraic geometric methods in algebraic computing Contributions in related fields (computational aspects of group theory, differential algebra and geometry, algebraic and differential topology, etc.) were also welcome. The origin and the motivation of such a meeting, that is supposed to be the first of a series, deserves to be explained. The subject - the theory and the practice of computation in alge­ braic geometry and related domains from the mathematical viewpoin- has been one of the themes of the symposia organized by SIGSAM (the Special Interest Group for Symbolic and Algebraic Manipulation of the Association for Computing Machinery), SAME (Symbolic and Algebraic Manipulation in Europe), and AAECC (the semantics of the name is vary­ ing; an average meaning is "Applied Algebra and Error Correcting Codes").

Editors and Affiliations

  • Dipartimento de Matematica, Università di Genova, Genova, Italy

    Teo Mora

  • Dipartimento de Matematica, Università di Pisa, Pisa, Italy

    Carlo Traverso

Bibliographic Information

  • Book Title: Effective Methods in Algebraic Geometry

  • Editors: Teo Mora, Carlo Traverso

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0441-1

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1991

  • Hardcover ISBN: 978-0-8176-3546-6Published: 01 May 1991

  • Softcover ISBN: 978-1-4612-6761-4Published: 13 July 2013

  • eBook ISBN: 978-1-4612-0441-1Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XIV, 502

  • Topics: Algebraic Geometry

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