Computational algebraic geometry /
Investigates interplay between algebra and geometry. Covers: homological algebra, algebraic combinatorics and algebraic topology, and algebraic geometry.
Clasificación: | Libro Electrónico |
---|---|
Autor principal: | |
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.