Contents
Preface vi i
Chapter 0 . Introductio n 1
Chapter 1. A division algebr a i s a central simpl e algebr a 5
Chapter 2 . Azumay a algebra s a t th e generi c poin t 11
Chapter 3 . Th e Braue r grou p 2 0
Chapter 4 . For m o f matrices 2 7
Chapter 5 . Torsio n questio n 3 2
Chapter 6 . Galoi s extension s 3 7
Chapter 7 . Crosse d product s an d cohomolog y 4 4
Chapter 8 . Corestrictio n 5 5
Chapter 9 . Order s an d regulä r domain s 6 1
Chapter 10. Ramificatio n 6 7
Chapter 11 . Specializatio n an d liftin g 7 3
Chapter 12. Lattic e method s 7 9
Chapter 13. Braue r Sever i varietie s 8 9
Chapter 14. Generi c divisio n algebr a 102
Bibliography 17
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