An Introduction to Algebraic Geometry and Algebraic Groups
Meinolf Geck
An accessible text introducing algebraic geometry and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic geometries from first principles. Building on the background material from algebraic geometry and algebraic groups, the text provides an introduction to more advanced and specialised material. An example is the representation theory of finite groups and Lie type. The text covers the conjugacy of borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, a thorough treatment of Frobenius maps on affine varieties and algebraic groups, zeta functions, and Lefschetz numbers for varieties over finite fields. Experts in the field will enjoy some of the new proofs. The text uses algebraic groups as the main examples, including worked out examples, instructuve exercises, as well as bibliographical and historical remarks
카테고리:
년:
2003
판:
1
출판사:
Clarendon Press;Oxford University Press
언어:
english
페이지:
320
ISBN 10:
019967616X
ISBN 13:
9780199676163
시리즈:
Oxford graduate texts in mathematics 10
파일:
PDF, 1.81 MB
IPFS:
,
english, 2003