Algorithms in algebraic geometry

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Bibliographic Details
Corporate Authors: SpringerLink (Online service); Workshop on Algorithms in Algebraic Geometry (2006 University of Minnesota) (University of Minnesota))
Group Author: Schreyer Frank-Olaf.; Sommese Andrew John.; Dickenstein Alicia.
Published: Springer,
Publisher Address: New York
Publication Dates: c2008.
Literature type: Book
Language: English
Series: IMA volumes in mathematics and its applications ; v. 146
Subjects:
Online Access: http://dx.doi.org/10.1007/978-0-387-75155-9
Carrier Form: 1 online resource (xi, 157 p.): ill.
ISBN: 9780387751559 (electronic bk.)
0387751556 (electronic bk.)
Index Number: O187
CLC: O187-532
Contents: The Workshop on Algorithms in Algebraic Geometry was held on Sept. 18-22, 2006 at the University of Minnesota.
Includes bibliographical references.
Application of a numerical version of Terracini's lemma for secants and joins / Daniel J. Bates, Chris Peterson, and Andrew J. Sommese -- On the sharpness of fewnomial bounds and the number of components of fewnomial hypersurfaces / Frédéric Bihan, J. Maurice Rojas, and Frank Sottile -- Intersections of Schubert varieties and other permutation array schemes / Sara Billey and Ravi Vakil -- Efficient inversion of rational maps over finite fields / Antonio Cafure, Guillermo Matera, and Ariel Waissbein -- Higher-order deflation for polynomial systems with isolated singular solutions / Anton Leykin, Jan Verschelde, and Ailing Zhao -- Polars of real singular plane curves / Heidi Camilla Mork and Ragni Piene -- Semidefinite representation of the k-ellipse / Jiawang Nie, Pablo A. Parrilo, and Bernd Sturmfels -- Solving polynomial systems equation by equation / Andrew J. Sommese, Jan Verschelde, and Charles W. Wampler.
In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric computation. 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