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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 |
MARC
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| 100 | 1 | |a Bloch, Spencer. | |
| 245 | 1 | 0 | |a Lectures on algebraic cycles / |c Spencer Bloch. |
| 250 | |a 2nd ed. | ||
| 260 | |a Cambridge : |b Cambridge University Press, |c 2010. | ||
| 300 | |a 1 online resource (xxiv, 130 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a New mathematical monographs ; |v 16 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 520 | 8 | |a 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. | |
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