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An Introduction to Algebraic Geometry and Algebraic Groups

An Introduction to Algebraic Geometry and Algebraic Groups

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Description
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.
Product details
Edition:
1
Number of Pages:
320
Release Date:
2004-01-15
Publication Date:
2003-11-13
Publisher:
OUP Oxford
Languages:
Original: English
ISBN10:
0198528310
ISBN13:
9780198528319
GPSR Manufacturer Reference:
Weight:
646 g
Height:
161 cm
Width:
240 cm
Thickness:
22 cm
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