Quadratic Forms With Applications to Algebraic Geometry and Topology

Sommario

1. The representation theory of Cassels; 2. Multiplicative quadratic forms; 3. The level of fields, rings and topological spaces; 4. Hilbert's homogeneous nullstellensatz; 5. Tsen-Lang theory; 6. Hilbert's 17th problem; 7. The Pythagoras number; 8. The u-invariant; 9. Systems of quadratic forms; 10. The level of projective spaces.

Riassunto

This volume has grown out of lectures given by Professor Pfister over many years. The emphasis here is placed on results about quadratic forms that give rise to interconnections between number theory, algebra, algebraic geometry, and topology. This is a gem of a book bringing together 30 years' worth of results that are certain to interest anyone whose research touches on quadratic forms.

Dettagli sul prodotto

• Autori: Albrecht Pfister, Albrecht (Johannes Gutenberg Universitat Pfister
• Con la collaborazione di: J. W. S. Cassels (Editore), N. J. Hitchin (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 28.09.1995
• EAN: 9780521467551
• ISBN: 978-0-521-46755-1
• Pagine: 188
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro