Software for Algebraic Geometry

by Stillman, Michael Eugene; Takayama, Nobuki; Verschelde, Jan

• ISBN13: 9780387781327
• ISBN10: 0387781323
• Format: Hardcover
• Copyright: 2008-04-29
• Publisher: Springer Verlag

Summary

"This volume reflects the workshop "Software for Algebraic Geometry" held in the week from 23 to 27 October 2006, as the second workshop in the thematic year on Applications of Algebraic Geometry at the IMA. The papers in this volume describe the software packages Bertini, PHClab, Gfan, DEMiCs, SYNAPS, Trlm, Gambit, ApaTools, and the application of Risa/Asir to a conjecture on multiple zeta values. They offer the reader a broad view of current trends in computational algebraic geometry through software development and applications."--BOOK JACKET.

Table of Contents

Software for numerical algebraic geometry: A paradigm and progress towards its implementation	p. 1
PHClab: A MATLAB/Octave interface to PRCpack	p. 15
Computing Grobner fans and tropical varieties in Gfan	p. 33
On a conjecture for the dimension of the space of the multiple zeta values	p. 47
DEMiCs: A software package for computing the mixed volume via dynamic enumeration of all mixed cells	p. 59
SYNAPS, a library for dedicated applications in symbolic numeric computing	p. 81
Tropical implicitization and mixed fiber polytopes	p. 111
Towards a black-box solver for finite games: Computing all equilibria with Gambit and PRCpack	p. 133
ApaTools: A software toolbox for approximate polynomial algebra	p. 149
List of workshop participants	p. 169
Table of Contents provided by Blackwell. All Rights Reserved.