Semiregularity via derived deformation theory
- đ¤ Speaker: Jon Pridham (Cambridge)
- đ Date & Time: Wednesday 25 January 2012, 14:15 - 15:15
- đ Venue: MR4, CMS
Abstract
Bloch defined a semiregularity map on the obstruction space of any LCI embedding in a smooth scheme X, and showed that it annihilates curvilinear obstructions. Buchweitz and Flenner extended this to a map on the obstruction space of any coherent sheaf on X.
I will show how this map is related to a Chern character from the deformation space to Deligne cohomology, and why this means it must annihilate all obstructions.
Series This talk is part of the Algebraic Geometry Seminar series.
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Jon Pridham (Cambridge)
Wednesday 25 January 2012, 14:15-15:15