MARC 主機 00000nam 2200301 4500
001 AAI3211039
005 20070628102636.5
008 070628s2006 eng d
020 9780542596414
035 (UnM)AAI3211039
040 UnM|cUnM
100 1 Ben-Bassat, Oren
245 10 Twisting derived equivalences
300 72 p
500 Source: Dissertation Abstracts International, Volume: 67-
03, Section: B, page: 1467
500 Adviser: Tony Pantev
502 Thesis (Ph.D.)--University of Pennsylvania, 2006
520 We introduce a new method for "twisting" relative
equivalences of derived categories of sheaves on two
spaces over the same base. The derived categories of
sheaves on the spaces are twisted to derived categories of
sheaves on gerbes living over spaces that are locally (on
the base) isomorphic to the original spaces. This is done
in a compatible way so that the equivalence is maintained.
We apply this method by proving the conjectures of Donagi
and Pantev on dualities between gerbes on genus-one
fibrations and comment on other applications
590 School code: 0175
590 DDC
650 4 Mathematics
690 0405
710 20 University of Pennsylvania
773 0 |tDissertation Abstracts International|g67-03B
856 40 |uhttp://pqdd.sinica.edu.tw/twdaoapp/servlet/
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