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Semiregularity via derived algebraic geometry

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Jonathan P. Pridham
Don, 12/04/2012 - 10:30 - 12:00
MPIM Lecture Hall

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 an Abel-Jacobi map from the deformation space to
Deligne cohomology, and why this means it must annihilate all obstructions.

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