Computational algebraic geometry /

Investigates interplay between algebra and geometry. Covers: homological algebra, algebraic combinatorics and algebraic topology, and algebraic geometry.

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Schenck, Hal
Format: Electronic eBook
Language:Inglés
Published: Cambridge, UK ; New York : Cambridge University Press, 2003.
Series:London Mathematical Society student texts ; 58.
Subjects:
Geometry, Algebraic > Data processing > Congresses.
Géométrie algébrique > Informatique > Congrès.
MATHEMATICS > Geometry > Algebraic.
Geometry, Algebraic > Data processing.
Algebraische Geometrie
Algebraïsche meetkunde.
Algoritmen.
Dataprocessing.
Conference papers and proceedings.
Online Access:Texto completo
Table of Contents:
  • Basics of commutative algebra
  • Projective space and graded objects
  • Free resolutions and regular sequences
  • Gröbner bases and the Buchberger algorithm
  • Combinatorics, topology and the Stanley-Reisner ring
  • Functors: localization, Hom and tensor
  • Geometry of points and the Hilbert function
  • Snake Lemma, derived functors, Tor and Ext
  • Curves, sheaves, and cohomology
  • Projective dimension, Cohen-Macaulay modules, upper bound theorem
  • Abstract algebra primer
  • Complex analysis primer.

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