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9781470467074 Academic Inspection Copy

Tate Duality in Positive Dimension over Function Fields

  • ISBN-13: 9781470467074
  • Publisher: AMERICAN MATHEMATICAL SOCIETY
    Imprint: AMERICAN MATHEMATICAL SOCIETY
  • By Zev Rosengarten
  • Price: AUD $219.00
  • Stock: 0 in stock
  • Availability: This book is temporarily out of stock, order will be despatched as soon as fresh stock is received.
  • Local release date: 30/04/2024
  • Format: Paperback (254.00mm X 178.00mm) 213 pages Weight: 272g
  • Categories: Algebra [PBF]Algebraic geometry [PBMW]
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We extend the classical duality results of Poitou and Tate for finite discrete Galois modules over local and global fields (local duality, nine-term exact sequence, etc.) to all affine commutative group schemes of finite type, building on the recent work of ?esnavi?ius [?es2] extending these results to all finite commutative group schemes. We concentrate mainly on the more difficult function field setting, giving some remarks about the number field case along the way.
Zev Rosengarten, Stanford University, California.
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