Torus Fibrations, Gerbes, and Duality |
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| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-4092-4 |
| Publication Date: | Apr 2008 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $73.00USD $73.00 |
Book Description:
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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 $\mathcal{{O}}^{{\times}}$ gerbe over a genus one fibration which is a twisted form of $X$.
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 $\mathcal{{O}}^{{\times}}$ gerbe over a genus one fibration which is a twisted form of $X$.