The IMA Volumes in Mathematics and its Applications

Algorithms in Algebraic Geometry

Editors: Dickenstein, Alicia, Schreyer, Frank-Olaf, Sommese, Andrew J. (Eds.)

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eBook $129.00
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About this book

In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric compuation. Some of these algorithms were originally designed for abstract algebraic geometry, but now are of interest for use in applications and some of these algorithms were originally designed for applications, but now are of interest for use in abstract algebraic geometry.

The workshop on Algorithms in Algebraic Geometry that was held in the framework of the IMA Annual Program Year in Applications of Algebraic Geometry by the Institute for Mathematics and Its Applications on September 18-22, 2006 at the University of Minnesota is one tangible indication of the interest. One hundred ten participants from eleven countries and twenty states came to listen to the many talks; discuss mathematics; and pursue collaborative work on the many faceted problems and the algorithms, both symbolic and numberic, that illuminate them.

This volume of articles captures some of the spirit of the IMA workshop.

Table of contents (8 chapters)

  • Application of a Numerical Version of Terr Acini’s Lemma for Secants and Joins

    Bates, Daniel J. (et al.)

    Pages 1-14

  • On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces

    Bihan, Frédéric (et al.)

    Pages 15-20

  • Intersections of Schubert varieties and other permutation array schemes

    Billey, Sara (et al.)

    Pages 21-54

  • Efficient Inversion of Rational Maps Over Finite Fields

    Cafure, Antonio (et al.)

    Pages 55-77

  • Higher-Order Deflation for Polynomial Systems With Isolated Singular Solutions

    Leykin, Anton (et al.)

    Pages 79-97

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-0-387-75155-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-387-75154-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-1-4419-2583-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algorithms in Algebraic Geometry
Editors
  • Alicia Dickenstein
  • Frank-Olaf Schreyer
  • Andrew J. Sommese
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
146
Copyright
2008
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-75155-9
DOI
10.1007/978-0-387-75155-9
Hardcover ISBN
978-0-387-75154-2
Softcover ISBN
978-1-4419-2583-1
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XII, 162
Topics