An algebraic introduction to complex projective geometry /

Bibliographic Details
Main Author: Peskine, Christian
Format: Book
Language:English
Published: Cambridge : Cambridge University, 1996.
Series:Cambridge studies in advanced mathematics ; 47
Subjects:
Table of Contents:
  • v.1: Commutative algebra.
  • v.2: Homological algebras and projective geometry.
  • 1. Rings, homomorphisms, ideals
  • 2. Modules
  • 3. Noetherian rings and modules
  • 4. Artinian rings and modules
  • 5. Finitely generated modules over Noetherian rings
  • 6. A first contact with homological algebra
  • 7. Fractions
  • 8. Integral extensions of rings
  • 9. Algebraic extensions of rings
  • 10. Noether's transformation lemma
  • 11. Affine schemes
  • 12. Morphisms of affine schemes
  • 13. Zariski's main theorem
  • 14. Integrally closed Noetherian rings
  • 15. Weil divisors
  • 16. Cartier divisors.