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Algebra, Arithmetic and Geometry with Applications

Papers from Shreeram S. Abhyankar’s 70th Birthday Conference

  • Book
  • © 2004

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Editors:
  1. Chris Christensen

    1. Department of Mathematics and Computer Science, Northern Kentucky University, Highland Heights, USA

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  2. Avinash Sathaye

    1. Department of Mathematics, University of Kentucky, Lexington, USA

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  3. Ganesh Sundaram

    1. Bell Labs, Whippany, USA

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  4. Chandrajit Bajaj

    1. Department of Computer Sciences, University of Texas at Austin, Austin, USA

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About this book

 This volume is the proceedings of the Conference on Algebra and Algebraic Geometry with Applications which was held July 19 – 26, 2000, at Purdue University to honor Professor Shreeram S. Abhyankar on the occasion of his seventieth birthday. Eighty-five of Professor Abhyankar's students, collaborators, and colleagues were invited participants. Sixty participants presented papers related to Professor Abhyankar's broad areas of mathematical interest. There were sessions on algebraic geometry, singularities, group theory, Galois theory, combinatorics, Drinfield modules, affine geometry, and the Jacobian problem. This volume offers an outstanding collection of papers by authors who are among the experts in their areas.

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Table of contents (49 chapters)

  1. Front Matter

    Pages I-XVI
    Download chapter PDF

  2. Preface to the Proceedings

    • Chris Christensen, Ganapathy S. Sundaram
    Pages 1-13

  3. A Robust, Computationally Efficient Methodology to Set Service Levels for Components in Assemble-to-Order Environments

    • Hari S. Abhyankar
    Pages 15-43

  4. Smale Strategies for Prisoner’s Dilemma Type Games

    • Kashi Abhyankar
    Pages 45-48

  5. Remembrances of Prof. Shreeram S. Abhyankar and ABC of Singularities

    • Shreedhar S. Abhyankar
    Pages 49-61

  6. Thoughts on Symplectic Groups and Symplectic Equations

    • Shreeram S. Abhyankar, Nicholas F. J. Inglis
    Pages 63-126

  7. Field Generators for the Quantum Plane

    • Jacques Alev, François Dumas
    Pages 127-141

  8. Bounding Singular Surfaces of General Type

    • Valery Alexeev, Shigefumi Mori
    Pages 143-174

  9. Toric Modifications of Free Toric Varieties

    • Abdallah Assi, Margherita Barile
    Pages 175-182

  10. Recent Remarks on Analytical Equivalence

    • Alberto de Azevedo
    Pages 183-188

  11. Behavior of the Torsion of the Differential Module of an Algebroid Curve Under Quadratic Transformations

    • Robert W. Berger
    Pages 189-201

  12. Note on Equisingularity in Codimension 1 and Characteristic p ≠ 0

    • Isabel Bermejo
    Pages 203-218

  13. Toric Structure of the Graded Algebra Relative to a Valuation

    • Antonio Campillo, Carlos Galindo
    Pages 219-234

  14. Postulation of Adjoint Ideals and Geometry of Projective Curves

    • Nadia Chiarli, Silvio Greco, Roberto Notari
    Pages 235-257

  15. Belghitti-Gruson or Semple?

    • Vincent Cossart
    Pages 259-262

  16. 2S 4 * Q 8-extensions

    • Teresa Crespo
    Pages 263-272

  17. The Structure of Morphisms

    • Steven Dale Cutkosky
    Pages 273-281

  18. Around the Abhyankar-Moh Theorem

    • Arno van den Essen
    Pages 283-294

  19. PSL 2(11) is Admissible for all Number Fields

    • Walter Feit
    Pages 295-299

  20. Adjoints and Max Noether’s Fundamentalsatz

    • William Fulton
    Pages 301-313
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Editors and Affiliations

  • Department of Mathematics and Computer Science, Northern Kentucky University, Highland Heights, USA

    Chris Christensen

  • Department of Mathematics, University of Kentucky, Lexington, USA

    Avinash Sathaye

  • Bell Labs, Whippany, USA

    Ganesh Sundaram

  • Department of Computer Sciences, University of Texas at Austin, Austin, USA

    Chandrajit Bajaj

Bibliographic Information

  • Book Title: Algebra, Arithmetic and Geometry with Applications

  • Book Subtitle: Papers from Shreeram S. Abhyankar’s 70th Birthday Conference

  • Editors: Chris Christensen, Avinash Sathaye, Ganesh Sundaram, Chandrajit Bajaj

  • DOI: https://doi.org/10.1007/978-3-642-18487-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Softcover ISBN: 978-3-540-00475-2Published: 16 October 2003

  • eBook ISBN: 978-3-642-18487-1Published: 27 June 2011

  • Edition Number: 1

  • Number of Pages: XVI, 785

  • Topics: Algebra, Algebraic Geometry

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