Get 40% off select Statistics books or choose from thousands of Archive eBooks at 9.99 each!

Trends in Mathematics

Topics in Cohomological Studies of Algebraic Varieties

Impanga Lecture Notes

Editors: Pragacz, Piotr (Ed.)

Free Preview

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-7643-7342-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA in USD
  • ISBN 978-3-7643-7214-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The articles in this volume study various cohomological aspects of algebraic varieties:
- characteristic classes of singular varieties;
- geometry of flag varieties;
- cohomological computations for homogeneous spaces;
- K-theory of algebraic varieties;
- quantum cohomology and Gromov-Witten theory.
The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned areas. It is adressed to researchers and graduate students in algebraic geometry, algebraic topology, and singularity theory, as well as to mathematicians interested in homogeneous varieties and symmetric functions. Most of the material exposed in the volume has not appeared in books before.
Contributors:
Paolo Aluffi
Michel Brion
Anders Skovsted Buch
Haibao Duan
Ali Ulas Ozgur Kisisel
Piotr Pragacz
Jörg Schürmann
Marek Szyjewski
Harry Tamvakis

Reviews

From the reviews:

“It is certainly a volume that should guide and influence those who plan to be perfect in acquiring a detailed education and review of the cohomological studies of algebraic varieties. In short, the volume not only simply commands a presence on every mathematical bookshelf but also belongs in the library of everyone wishing to stay better informed on cohomological theories. … And the references listed at the end of each contribution have a remarkable value for the intended readers.” (Current Engineering Practice, Vol. 48, 2005-2006)

Table of contents (9 chapters)

Table of contents (9 chapters)
  • Characteristic Classes of Singular Varieties

    Pages 1-32

    Aluffi, Paolo

  • Lectures on the Geometry of Flag Varieties

    Pages 33-85

    Brion, Michel

  • Combinatorial K-theory

    Pages 87-103

    Buch, Anders Skovsted

  • Morse Functions and Cohomology of Homogeneous Spaces

    Pages 105-133

    Duan, Haibao

  • Integrable Systems and Gromov-Witten Theory

    Pages 135-161

    Kisisel, Ali Ulas Ozgur

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-7643-7342-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA in USD
  • ISBN 978-3-7643-7214-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Topics in Cohomological Studies of Algebraic Varieties
Book Subtitle
Impanga Lecture Notes
Editors
  • Piotr Pragacz
Series Title
Trends in Mathematics
Copyright
2005
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7342-9
DOI
10.1007/b137662
Hardcover ISBN
978-3-7643-7214-9
Series ISSN
2297-0215
Edition Number
1
Number of Pages
XXVIII, 300
Topics