**Lectures on the structure of algebraic groups and geometric applications By Michel Brion, Preena Samuel, V. Uma**

English | PDF | 2013 | 125 Pages | ISBN : 9380250460 | 9.24 MB

The theory of algebraic groups has chiefly been developed along two distinct directions: linear (or, equivalently, affine) algebraic groups, and abelian varieties (complete, connected algebraic groups). This is made possible by a fundamental theorem of Chevalley: any con- nected algebraic group over an algebraically closed field is an ex- tension of an abelian variety by a connected linear algebraic group, and these are unique.

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