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Lectures on algebraic cycles /
The theory of algebraic cycles encompasses central problems in mathematics such as the Hodge conjecture and the Bloch-Kato conjecture on special values of zeta functions. In this book, Spencer Bloch explains the guiding philosophy of algebraic cycles and motives.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2010.
|
| Edición: | 2nd ed. |
| Colección: | New mathematical monographs ;
16. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface to the second edition
- 30 Years later ...
- Motives
- Lecture 1: Zero-cycles
- Lectures 2 and 3: Intermediate jacobians
- Lecture 4: Cohomological methods
- Lecture 5: The conjecture of Milnor-Bloch-Kato
- Lecture 6: Infinitesimal methods in motivic cohomology
- Lecture 7: Diophantine questions
- Lectures 8 and 9: Regulators and values of L-functions
- Coda: Motives in physics
- References for preface
- LECTURES ON ALGEBRAIC CYCLES
- 0 Introduction
- References for Lecture 0
- 1 Zero-cycles on surfaces
- References for Lecture 1
- Appendix: On an argument of Mumford in the theory of algebraic cycles
- References for Lecture 1 Appendix
- 2 Curves on threefolds and intermediate jacobians
- Remarks on the literature
- References for Lecture 2
- 3 Curves on threefolds and intermediate jacobians
- the relative case
- References for Lecture 3
- 4 K-theoretic and cohomological methods
- References for Lecture 4
- 5 Torsion in the Chow group
- References for Lecture 5
- 6 Complements on H2 (K2)
- References for Lecture 6
- 7 Diophantine questions
- References for Lecture 7
- 8 Relative cycles and zeta functions
- References for Lecture 8
- 9 Relative cycles and zeta functions
- continued
- References for Lecture 9
- Bibliography
- Index.