By Meinolf Geck

An available textual content introducing algebraic geometries and algebraic teams at complex undergraduate and early graduate point, this e-book 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 historical past fabric from algebraic geometry and algebraic teams, the textual content presents an advent to extra complex and specialized fabric. An instance is the illustration thought of finite teams of Lie type.

The textual content covers the conjugacy of Borel subgroups and maximal tori, the speculation of algebraic teams with a BN-pair, an intensive remedy of Frobenius maps on affine kinds and algebraic teams, zeta services and Lefschetz numbers for forms over finite fields. specialists within the box will take pleasure in a few 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 old remarks.

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