Torus Fibrations, Gerbes, and Duality

• Author(s): Ron Donagi, Tony Pantev,
• Publisher: American Mathematical Soc.
• Pages: 90
• ISBN_10: 0821840924
  ISBN_13: 9780821840924
  
• Language: en
• Categories: Mathematics / Geometry / Algebraic , Mathematics / Geometry / Differential , Mathematics / Transformations ,

Description:... Let $X$ be a smooth elliptic fibration over a smooth base $B$. Under mild assumptions, the authors establish a Fourier-Mukai equivalence between the derived categories of two objects, each of which is an $\mathcal{O} DEGREES{\times}$ gerbe over a genus one fibration which is a twisted form