Group Cohomology and Algebraic Cycles
eBook - PDF

Group Cohomology and Algebraic Cycles

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Group Cohomology and Algebraic Cycles

Book details
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About This Book

Group cohomology reveals a deep relationship between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles. Early chapters synthesize background material from topology, algebraic geometry, and commutative algebra so readers do not have to form connections between the literatures on their own. Later chapters demonstrate Peter Symonds's influential proof of David Benson's regularity conjecture, offering several new variants and improvements. Complete with concrete examples and computations throughout, and a list of open problems for further study, this book will be valuable to graduate students and researchers in algebraic geometry and related fields.

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Yes, you can access Group Cohomology and Algebraic Cycles by Burt Totaro in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2014
ISBN
9781139898423
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Cover
  2. Series
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. 1 Group Cohomology
  9. 2 The Chow Ring of a Classifying Space
  10. 3 Depth and Regularity
  11. 4 Regularity of Group Cohomology
  12. 5 Generators for the Chow Ring
  13. 6 Regularity of the Chow Ring
  14. 7 Bounds for p-Groups
  15. 8 The Structure of Group Cohomology and the Chow Ring
  16. 9 Group Cohomology and the Chow Ring Modulo Transfers Are Cohen-Macaulay
  17. 10 Bounds for Group Cohomology and the Chow Ring Modulo Transfers
  18. 11 Transferred Euler Classes
  19. 12 Detection Theorems for Cohomology and Chow Rings
  20. 13 Calculations
  21. 14 Groups of Order p[sup(4)]
  22. 15 The Geometric and Topological Filtrations of the Representation Ring
  23. 16 The Eilenberg-Moore Spectral Sequence in Motivic Cohomology
  24. 17 The Chow Kunneth Conjecture
  25. 18 Open Problems
  26. Appendix : Tables
  27. References
  28. Index