Algebraic Groups and Their Birational Invariants

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American Mathematical Soc., 1998 - Mathematics - 218 pages
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Since the late 1960s, methods of birational geometry have been used successfully in the theory of linear algebraic groups, especially in arithmetic problems. This book studies birational properties of linear algebraic groups focusing on arithmetic applications.
 

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Contents

Birational Geometry of Algebraic Tori
41
Invariants of Finite Transformation Groups
75
Arithmetic of Linear Algebraic Groups
103
Tamagawa Numbers
133
i?equivalence in Algebraic Groups
177
Index Formulas in Arithmetic of Algebraic Tori
197
Bibliographical Remarks
207
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