Semiregularity via derived deformation theory

Details Semiregularity via derived deformation theory Semiregularity via derived deformation theory

2011-12-27

arxiv.org/abs/1112.6001v2

Mathematics

Algebraic Geometry

20 pages; v2 various errors corrected and intermediate results weakened to simplify exposition

Scientific paper

We realise Buchweitz and Flenner's semiregularity map (and hence a fortiori
Bloch's semiregularity map) as the tangent of a morphism of derived moduli
functors. An immediate consequence is that it annihilates all obstructions (not
just curvilinear ones) globally.

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