Because the overdue Nineteen Sixties, equipment of birational geometry were used effectively within the thought of linear algebraic teams, specially in mathematics difficulties. This book--which may be considered as an important revision of the author's publication, Algebraic Tori (Nauka, Moscow, 1977)--studies birational houses of linear algebraic teams concentrating on mathematics functions. the most issues are varieties and Galois cohomology, the Picard workforce and the Brauer staff, birational geometry of algebraic tori, mathematics of algebraic teams, Tamagawa numbers, $R$-equivalence, projective toric kinds, invariants of finite transformation teams, and index-formulas. effects and functions are fresh. there's an intensive bibliography with extra reviews which could function a consultant for extra interpreting.
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