作者 Ben-Bassat, Oren
書名 Twisting derived equivalences
國際標準書號 9780542596414
book jacket
說明 72 p
附註 Source: Dissertation Abstracts International, Volume: 67-03, Section: B, page: 1467
Adviser: Tony Pantev
Thesis (Ph.D.)--University of Pennsylvania, 2006
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
School code: 0175
DDC
Host Item Dissertation Abstracts International 67-03B
主題 Mathematics
0405
Alt Author University of Pennsylvania