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.
Read More ↓Title Statements
- Full title :Lectures on algebraic cycles / Spencer Bloch.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2010.
- Edition:2nd ed
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2010.
The Physical Object
- Description:1 ressource en ligne (xxiv, 130 pages) : : illustrations.
Edition Identifiers
- ISBN:9780511901898, 0511901895, 9780511798740, 0511798741, 9780511760693, 0511760698
- oclc:on1104455053
- LC Classification:QA564
- Dewey Decimal:516.35
Table of Contents
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 Rel…
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