Semiregularity via derived deformation theory

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• Jon Pridham (Cambridge)
• Wednesday 25 January 2012, 14:15-15:15
• MR4, CMS.

If you have a question about this talk, please contact Caucher Birkar.

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.

This talk is part of the Algebraic Geometry Seminar series.

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