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Computations in Algebraic Geometry with Macaulay 2 /

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This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research i...

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Bibliographic Details
Main Author: Eisenbud, David
Corporate Author: SpringerLink (Online service)
Other Authors: Stillman, Michael, Grayson, Daniel R., Sturmfels, Bernd
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2002.
Series:Algorithms and computation in mathematics ; 8.
Subjects:
Mathematics.
Algebra > Data processing.
Geometry, Algebraic.
Combinatorial analysis.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Part I. Introducing Macaulay 2: 1. Ideals, Varieties and Macaulay 2 by Bernd Sturmfels
  • 2. Projective Geometry and Homological Algebra by David Eisenbud
  • 3. Data Types, Functions, and Programming by Daniel R. Grayson and Michael E. Stillman
  • 4. Teaching the Geometry of Schemes by Gregory G. Smith and Bernd Sturmfels
  • Part II. Mathematical Computations: 5. Monomial Ideals by Serkan Hosten and Gregory G. Smith
  • 6. From Enumerative Geometry to Solving Systems of Polynomial Equations by Frank Sottile
  • 7. Resolutions and Cohomology over Complete Intersections by Luchezar L. Avramov and Daniel R. Grayson
  • 8. Algorithms for the Toric Hilbert Scheme by Stillman, Bernd Sturmfels, and Rekha Thomas
  • 9. Sheaf Algorithms Using the Exterior Algebra by Wolfram Decker and David Eisenbud
  • 10. Needles in a Haystack: Special Varieties via Small Fields by Frank-Olaf Schreyer and Fabio Tonoli
  • 11.D-modules and Cohomology of Varieties by Uli Walther.