Algorithms in algebraic geometry go hand in hand with software
packages that implement them. Together they have established the
modern field of computational algebraic geometry which has come to
play a major role in both theoretical advances and applications.
Over the past fifteen years, several excellent general purpose
packages for computations in algebraic geometry have been
developed, such as, CoCoA, Singular and Macaulay 2. While these
packages evolve continuously, incorporating new mathematical
advances, they both motivate and demand the creation of new
mathematics and smarter algorithms.
This volume reflects the workshop a oeSoftware for Algebraic
Geometrya 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, TrIm,
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.
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