Conjectures in Arithmetic Algebraic Geometry - A Survey

Contents
1. The zero-dimensional case: number fields
2. The one-dimensional case: elliptic curves
3. The general formalism of L-functions, Deligne cohomolgy and Poincare duality theories
4. Riemann-Roch, K-theory and motivic cohomology
5. Regulators, Deligne's conjecture and Beilinson's first conjecture
6. Beilinson's second conjecture
7. Arithmetic intersections and Beilinson's third conjecture
8. Absolute Hodge cohomology, Hodge and Tate conjectures and Abel-Jacobi maps
9. Mixed realizations, mixed motives and Hodge and Tate conjectures for singular varieties
10. Examples and Resultes
11. The Bloch-Kato conjecture

Produktdetails

• Autoren: Wilfred W. J. Hulsbergen
• Verlag: Vieweg+Teubner
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 01.01.1994
• EAN: 9783528164331
• ISBN: 978-3-528-16433-1
• Seiten: 245
• Gewicht: 550 g
• Serien: Aspects of Mathematics; Aspects of Mathematics
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Arithmetik, Algebra