By Meinolf Geck
An available textual content introducing algebraic geometries and algebraic teams at complicated undergraduate and early graduate point, this ebook develops the language of algebraic geometry from scratch and makes use of it to establish the idea of affine algebraic teams from first principles.
Building at the heritage fabric from algebraic geometry and algebraic teams, the textual content presents an advent to extra complicated and specialized fabric. An instance is the illustration conception of finite teams of Lie type.
The textual content covers the conjugacy of Borel subgroups and maximal tori, the idea of algebraic teams with a BN-pair, a radical therapy of Frobenius maps on affine types and algebraic teams, zeta features and Lefschetz numbers for types over finite fields. specialists within the box will take pleasure in many of the new ways to classical results.
The textual content makes use of algebraic teams because the major examples, together with labored out examples, instructive workouts, in addition to bibliographical and ancient remarks.
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