Algebraic cycles and motives, Volume 1:
Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two...
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| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2007
|
| Schriftenreihe: | London Mathematical Society lecture note series
343 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two volumes that provide a self-contained account of the subject. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Bloch's conjecture. Researchers and students in complex algebraic geometry and arithmetic geometry will find much of interest here |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 292 pages) |
| ISBN: | 9780511721496 |
| DOI: | 10.1017/CBO9780511721496 |
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| 520 | |a Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two volumes that provide a self-contained account of the subject. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Bloch's conjecture. Researchers and students in complex algebraic geometry and arithmetic geometry will find much of interest here | ||
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| author2 | Nagel, Jan Peters, C. |
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| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511721496 |
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| spelling | Algebraic cycles and motives, Volume 1 edited by Jan Nagel, Chris Peters Algebraic Cycles & Motives Cambridge Cambridge University Press 2007 1 online resource (xiv, 292 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 343 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two volumes that provide a self-contained account of the subject. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Bloch's conjecture. Researchers and students in complex algebraic geometry and arithmetic geometry will find much of interest here Algebraic cycles / Congresses Motives (Mathematics) / Congresses (DE-588)1071861417 Konferenzschrift gnd-content Nagel, Jan edt Peters, C. edt Erscheint auch als Druckausgabe 978-0-521-70174-7 https://doi.org/10.1017/CBO9780511721496 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Algebraic cycles and motives, Volume 1 Algebraic cycles / Congresses Motives (Mathematics) / Congresses |
| subject_GND | (DE-588)1071861417 |
| title | Algebraic cycles and motives, Volume 1 |
| title_alt | Algebraic Cycles & Motives |
| title_auth | Algebraic cycles and motives, Volume 1 |
| title_exact_search | Algebraic cycles and motives, Volume 1 |
| title_full | Algebraic cycles and motives, Volume 1 edited by Jan Nagel, Chris Peters |
| title_fullStr | Algebraic cycles and motives, Volume 1 edited by Jan Nagel, Chris Peters |
| title_full_unstemmed | Algebraic cycles and motives, Volume 1 edited by Jan Nagel, Chris Peters |
| title_short | Algebraic cycles and motives, Volume 1 |
| title_sort | algebraic cycles and motives volume 1 |
| topic | Algebraic cycles / Congresses Motives (Mathematics) / Congresses |
| topic_facet | Algebraic cycles / Congresses Motives (Mathematics) / Congresses Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511721496 |
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