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Algebraic Geometry and its Applications

Collections of Papers from Shreeram S. Abhyankar’s 60th Birthday Conference

  • Book
  • © 1994

Overview

Editors:
  1. Chandrajit L. Bajaj

    1. Department of Computer Science, Purdue University, West Lafayette, USA

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Table of contents (33 chapters)

  1. Young Tableaux

    1. Abhyankar’s Work on Young Tableaux and Some Recent Developments

      • Sudhir R. Ghorpade
      Pages 215-249

    2. Abhyankar’s Recursive Formula Regarding Standard Bi-Tableau

      • Shirinivas G. Udpikar
      Pages 251-259

    3. Correspondences Between Tableaux and Monomials

      • Sanjeevani V. Vaidya
      Pages 261-281

  2. Commutative Algebra

    1. Front Matter

      Pages 283-283
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    2. Report on the Torsion of Differential Module of an Algebraic Curve

      • Robert W. Berger
      Pages 285-303

    3. A Quick Proof of the Hartshorne-Lichtenbaum Vanishing Theorem

      • Markus Brodmann, Craig Huneke
      Pages 305-308

    4. Projective Lines Over One-Dimensional Semilocal Domains and Spectra of Birational Extensions

      • William Heinzer, David Lantz, Sylvia Wiegand
      Pages 309-325

    5. Some Questions on Z[√14]

      • Masayoshi Nagata
      Pages 327-332

    6. Function Fields of Conies, a Theorem of Amitsur—MacRae, and a Problem of Zariski

      • Jack Ohm
      Pages 333-363

    7. Gradings of Polynomial Rings

      • Peter Russell
      Pages 365-373

    8. Rigid Hilbert Polynomials for m-Primary Ideals

      • Judith D. Sally
      Pages 375-379

    9. One-Dimensional Local Rings with Finite Cohen-Macaulay Type

      • Roger Wiegand
      Pages 381-389

  3. Computational Algebraic Geometry

    1. Front Matter

      Pages 391-391
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    2. Some Applications of Constructive Real Algebraic Geometry

      • Chandrajit L. Bajaj
      Pages 393-405

    3. An Improved Sign Determination Algorithm

      • John Canny
      Pages 407-418

    4. Decomposition Algorithms in Geometry

      • Bernard Chazelle, Leonidas Palios
      Pages 419-447

    5. Single Exponential Path Finding in Semi-algebraic Sets, Part II: The General Case

      • Joos Heintz, Marie-Francoise Roy, Pablo Solerno
      Pages 449-465

    6. An Improved Projection for Cylindrical Algebraic Decomposition

      • D. Lazard
      Pages 467-476

    7. Degree Bounds of Gröbner Bases

      • Wei Li
      Pages 477-490

    8. Elastica and Computer Vision

      • David Mumford
      Pages 491-506
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Keywords

About this book

Algebraic Geometry and its Applications will be of interest not only to mathematicians but also to computer scientists working on visualization and related topics. The book is based on 32 invited papers presented at a conference in honor of Shreeram Abhyankar's 60th birthday, which was held in June 1990 at Purdue University and attended by many renowned mathematicians (field medalists), computer scientists and engineers. The keynote paper is by G. Birkhoff; other contributors include such leading names in algebraic geometry as R. Hartshorne, J. Heintz, J.I. Igusa, D. Lazard, D. Mumford, and J.-P. Serre.

Editors and Affiliations

  • Department of Computer Science, Purdue University, West Lafayette, USA

    Chandrajit L. Bajaj

Bibliographic Information

  • Book Title: Algebraic Geometry and its Applications

  • Book Subtitle: Collections of Papers from Shreeram S. Abhyankar’s 60th Birthday Conference

  • Editors: Chandrajit L. Bajaj

  • DOI: https://doi.org/10.1007/978-1-4612-2628-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1994

  • Softcover ISBN: 978-1-4612-7614-2Published: 22 September 2011

  • eBook ISBN: 978-1-4612-2628-4Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XXII, 536

  • Topics: Geometry, Algebra

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