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.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2010.
|
| Ausgabe: | 2nd ed. |
| Schriftenreihe: | New mathematical monographs ;
16. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xxiv, 130 pages :) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780511901898 0511901895 9780511798740 0511798741 9780511760693 0511760698 |
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| 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. | |
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| 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 Relative cycles and zeta functions -- continued -- References for Lecture 9 -- Bibliography -- Index. |
| ctrlnum | (OCoLC)664669451 |
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| dewey-search | 516.35 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2nd ed. |
| format | Electronic eBook |
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| indexdate | 2025-03-18T14:15:19Z |
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| isbn | 9780511901898 0511901895 9780511798740 0511798741 9780511760693 0511760698 |
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| spelling | Bloch, Spencer. Lectures on algebraic cycles / Spencer Bloch. 2nd ed. Cambridge : Cambridge University Press, 2010. 1 online resource (xxiv, 130 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier New mathematical monographs ; 16 Includes bibliographical references and index. Print version record. 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. 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. Algebraic cycles. http://id.loc.gov/authorities/subjects/sh85035063 Cycles algébriques. MATHEMATICS Geometry Algebraic. bisacsh Algebraic cycles fast Algebraische Zykel gnd Electronic books. has work: Lectures on algebraic cycles (Text) https://id.oclc.org/worldcat/entity/E39PCGh7trD7KcHCfycjq4PcdP https://id.oclc.org/worldcat/ontology/hasWork Print version: 9780521118422 (OCoLC)619124895 New mathematical monographs ; 16. http://id.loc.gov/authorities/names/n2003010567 |
| spellingShingle | Bloch, Spencer Lectures on algebraic cycles / New mathematical monographs ; 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. Algebraic cycles. http://id.loc.gov/authorities/subjects/sh85035063 Cycles algébriques. MATHEMATICS Geometry Algebraic. bisacsh Algebraic cycles fast Algebraische Zykel gnd |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85035063 |
| title | Lectures on algebraic cycles / |
| title_auth | Lectures on algebraic cycles / |
| title_exact_search | Lectures on algebraic cycles / |
| title_full | Lectures on algebraic cycles / Spencer Bloch. |
| title_fullStr | Lectures on algebraic cycles / Spencer Bloch. |
| title_full_unstemmed | Lectures on algebraic cycles / Spencer Bloch. |
| title_short | Lectures on algebraic cycles / |
| title_sort | lectures on algebraic cycles |
| topic | Algebraic cycles. http://id.loc.gov/authorities/subjects/sh85035063 Cycles algébriques. MATHEMATICS Geometry Algebraic. bisacsh Algebraic cycles fast Algebraische Zykel gnd |
| topic_facet | Algebraic cycles. Cycles algébriques. MATHEMATICS Geometry Algebraic. Algebraic cycles Algebraische Zykel Electronic books. |
| work_keys_str_mv | AT blochspencer lecturesonalgebraiccycles |