Mixed motives and algebraic K-theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1990
|
| Schriftenreihe: | Lecture notes in mathematics
1400 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 246 S. graph. Darst. |
| ISBN: | 3540522603 0387522603 |
Internformat
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| 100 | 1 | |a Jannsen, Uwe |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mixed motives and algebraic K-theory |c Uwe Jannsen |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1990 | |
| 300 | |a XI, 246 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1400 | |
| 490 | 1 | |a Lecture notes in mathematics / Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn |v 14 | |
| 502 | |a Zugl.: Regensburg, Univ., Habil.-Schr., 1988 | ||
| 650 | 4 | |a Géométrie algébrique | |
| 650 | 4 | |a Hodge, Théorie de | |
| 650 | 4 | |a K-théorie | |
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 4 | |a Hodge theory | |
| 650 | 4 | |a K-theory | |
| 650 | 0 | 7 | |a Gemischtes Motiv |0 (DE-588)4231782-4 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a Lecture notes in mathematics |v 1400 |w (DE-604)BV000676446 |9 1400 | |
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Datensatz im Suchindex
| _version_ | 1805082659897999360 |
|---|---|
| adam_text |
Contents
Preface III
Introduction V
PART I MIXED MOTIVES FOR ABSOLUTE HODGE CYCLES
§ 1 Some remarks on absolute Hodge cycles 1
§ 2 The category of mixed realizations 9
§ 3 The mixed realization of a smooth variety 25
§ 4 The category of mixed motives 43
PART II ALGEBRAIC CYCLES, K THEORY, AND EXTENSION CLASSES
§ 5 The conjectures of Hodge and Tate for 57
smooth varieties
§ 6 Twisted Poincare duality theories 79
§ 7 The conjectures of Hodge and Tate for 107
singular varieties
§ 8 Homology and K theory of singular varieties 121
§ 9 Extension classes, algebraic cycles, and the 139
case i = 2 j 1
§ 10 On the non injectivity of the Abel Jacobi map 169
§ 11 Chow groups over arbitrary fields 178
PART in K THEORY AND £ ADIC COHOMOLOGY
§ 12 Finite fields and global function fields 189
§ 13 Number fields 205
§ 14 Linear varieties 214
Appendix A: A letter from Bloch to the author 222
Appendix B: An example by C. Schoen 224
Appendix C: Complements and problems 227
Bibliography 235
Notations 241
Index 244 |
| any_adam_object | 1 |
| author | Jannsen, Uwe |
| author_facet | Jannsen, Uwe |
| author_role | aut |
| author_sort | Jannsen, Uwe |
| author_variant | u j uj |
| building | Verbundindex |
| bvnumber | BV002486638 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
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| callnumber-search | QA3 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 SK 230 SK 300 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-raw | 514/.23 510 |
| dewey-search | 514/.23 510 |
| dewey-sort | 3514 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| indexdate | 2024-07-20T07:36:11Z |
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| isbn | 3540522603 0387522603 |
| language | English |
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| physical | XI, 246 S. graph. Darst. |
| publishDate | 1990 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics Lecture notes in mathematics / Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn |
| spelling | Jannsen, Uwe Verfasser aut Mixed motives and algebraic K-theory Uwe Jannsen Berlin [u.a.] Springer 1990 XI, 246 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1400 Lecture notes in mathematics / Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn 14 Zugl.: Regensburg, Univ., Habil.-Schr., 1988 Géométrie algébrique Hodge, Théorie de K-théorie Geometry, Algebraic Hodge theory K-theory Gemischtes Motiv (DE-588)4231782-4 gnd rswk-swf Motiv Mathematik (DE-588)4197596-0 gnd rswk-swf Algebraische K-Theorie (DE-588)4141839-6 gnd rswk-swf Hodge-Zyklus (DE-588)4160321-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Algebraische K-Theorie (DE-588)4141839-6 s Motiv Mathematik (DE-588)4197596-0 s Hodge-Zyklus (DE-588)4160321-7 s DE-604 Gemischtes Motiv (DE-588)4231782-4 s Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn Lecture notes in mathematics 14 (DE-604)BV005628488 14 Lecture notes in mathematics 1400 (DE-604)BV000676446 1400 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001603339&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jannsen, Uwe Mixed motives and algebraic K-theory Lecture notes in mathematics Géométrie algébrique Hodge, Théorie de K-théorie Geometry, Algebraic Hodge theory K-theory Gemischtes Motiv (DE-588)4231782-4 gnd Motiv Mathematik (DE-588)4197596-0 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd Hodge-Zyklus (DE-588)4160321-7 gnd |
| subject_GND | (DE-588)4231782-4 (DE-588)4197596-0 (DE-588)4141839-6 (DE-588)4160321-7 (DE-588)4113937-9 |
| title | Mixed motives and algebraic K-theory |
| title_auth | Mixed motives and algebraic K-theory |
| title_exact_search | Mixed motives and algebraic K-theory |
| title_full | Mixed motives and algebraic K-theory Uwe Jannsen |
| title_fullStr | Mixed motives and algebraic K-theory Uwe Jannsen |
| title_full_unstemmed | Mixed motives and algebraic K-theory Uwe Jannsen |
| title_short | Mixed motives and algebraic K-theory |
| title_sort | mixed motives and algebraic k theory |
| topic | Géométrie algébrique Hodge, Théorie de K-théorie Geometry, Algebraic Hodge theory K-theory Gemischtes Motiv (DE-588)4231782-4 gnd Motiv Mathematik (DE-588)4197596-0 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd Hodge-Zyklus (DE-588)4160321-7 gnd |
| topic_facet | Géométrie algébrique Hodge, Théorie de K-théorie Geometry, Algebraic Hodge theory K-theory Gemischtes Motiv Motiv Mathematik Algebraische K-Theorie Hodge-Zyklus Hochschulschrift |
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