David Eisenbud
3264 and All That: A Second Course in Algebraic Geometry
- ISBN 13:
- 9781107602724
- author:
- David Eisenbud
- format:
- Paperback
- publisher:
- Cambridge University Press (14 April 2016)
- language:
- English
- Publication Year:
- 2016
- Pages:
- 603
- Dimensions:
- 17.7 x 3.5 x 25.3 cm
- Genre:
- Mathematics Textbook
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
This second course in algebraic geometry provides motivation and technique for solving geometric problems. Concrete questions from enumerative geometry and intersection theory are used to illustrate key ideas, including rational equivalence, Chow rings, Schubert calculus, and Chern classes.
Intersection theory is concerned with the enumeration of solutions to systems of polynomial equations in several variables. The book explores this active area of mathematics, which has been a central topic of modern mathematics since its inception. A landmark calculation by Chasles in 19th-century mathematics inspired the title of this book.
The authors provide abundant examples, many with solutions available online, to help readers develop their skills and understanding of algebraic geometry.