Wyniki wyszukiwania:

This book originates from a series of 10 lectures given by Professor Michel Brion at the Chennai Mathematical Institute during January 2011. The book presents a theorem due to Chevalley on the structure of connected algebraic groups, over algebraically closed fields, as the starting point of various other structure results developed in the recent past. Chevalley's structure theorem states that any connected algebraic group over an algebraically closed field is an extension of an abelian variety by a connected affine algebraic group. This theorem forms the foundation for the classification of...

Systematically develops the theory of Frobenius splittings and covers all its major developments.

Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings--definitions, properties and examples--to cutting edge research.