Algebraic Introduction to Complex Projective Geometry - Commutative Algebra

Klappentext An excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra. Zusammenfassung This is an excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra. The route chosen takes the reader quickly to the fundamental concepts for understanding complex projective geometry! the only prerequisites being a basic knowledge of linear and multilinear algebra and some elementary group theory. Inhaltsverzeichnis 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 normalisation 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; Subject index; Symbols index.

Produktdetails

• Autoren: Peskine Christian, Christian Peskine, Christian (Universite De Paris VI (Pierre Peskine, Christian (Universite de Paris VI (Pierre et Marie Curie)) Peskine
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 09.04.2009
• EAN: 9780521108478
• ISBN: 978-0-521-10847-8
• Seiten: 244
• Serien: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced; Cambridge Studies in Advanced Mathematics
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Arithmetik, Algebra