000 01084nam a2200157Ia 4500
008 220515s9999||||xx |||||||||||||| ||und||
020 _a978-0-19-967616-3
050 _aQA 564 .G44 2003
100 _aGeck, M.
245 3 _aAn introduction to algebraic geometry and algebraic groups
260 _aUnited Kingdom
_bOxford University Press
_c2003
300 _axii,307p.
500 _aIntroduces algebraic geometries and algebraic groups by developing the language of algebraic geometry from scratch and using it to set up the theory of affine algebraic groups from first principles. 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. The text uses algebraic groups as the main examples, including worked out examples, instructive exercises, as well as bibliographical and historical remarks.
650 _aGeometry, Algebraic|Linear algebraic groups
942 _2lcc
_cBK
999 _c7815
_d7815