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Computational algebraic geometry /

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

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schenck, Hal
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2003.
Colección:London Mathematical Society student texts ; 58.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.