Annals of Mathematics Studies
eBook - PDF

Annals of Mathematics Studies

  1. 212 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Annals of Mathematics Studies

Book details
Table of contents
Citations

About This Book

These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.

Frequently asked questions

Simply head over to the account section in settings and click on “Cancel Subscription” - it’s as simple as that. After you cancel, your membership will stay active for the remainder of the time you’ve paid for. Learn more here.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes, you can access Annals of Mathematics Studies by David Mumford in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebraic Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Princeton University Press
Year
2016
ISBN
9781400882069
Topic
Mathematics
Subtopic
Algebraic Geometry
Index
Mathematics

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Dedication
  5. CONTENTS
  6. INTRODUCTION
  7. 1: Raw Material on Curves on Surfaces, and the Problems Suggested
  8. 2: The Fundamental Existence Problem and Two Analytic Proofs
  9. 3: Pre-schemes and their Associated "Functor of Points"
  10. 4: Uses of the Functor of Points
  11. 5: Proj and Invertible Sheaves
  12. 6: Properties of Morphisms and Sheaves
  13. 7: Resume of the Cohomology of Coherent Sheaves on Pn
  14. 8: Flattening Stratifications
  15. 9: Cartier Divisors
  16. 10: Functorial Properties of Effective Cartier Divisors
  17. 11: Back to the Classical Case
  18. 12: The Over-all Classification of Curves on Surfaces
  19. 13: Linear Systems and Examples
  20. 14: Some Vanishing Theorems
  21. 15: Universal Families of Curves
  22. 16: The Method of Chow Schemes
  23. 17: Good Curves
  24. 18: The Index Theorem
  25. 19: The Picard Scheme: Outline
  26. 20: Independent 0-cycles on a Surface
  27. 21: The Picard Scheme: Conclusion
  28. 22: The Characteristic Map of a Family of Curves
  29. 23: The Fundamental Theorem V ia Kodaira-Spencer
  30. 24: The Structure of ϕ
  31. 25: The Fundamental Theorem Via Grothendieck-Cartier
  32. 26: Ring Schemes: The Witt Scheme
  33. 27: The Fundamental Theorem in Characteristic p
  34. BIBLIOGRAPHY