Algebraic Geometry seminar

Emanuele Tuillier Illingworth tuillier at
Tue Jul 22 17:23:11 CEST 2008

Algebraic Geometry seminar

Thursday 24 July 2008, 14:30 - SISSA Room D

Dr. Hua-Liang Chang   (Sissa)

"Derived Kodaira Spencer map and semiregularity"

Abstract:  The derived Kodaira Spencer map and higher tangent vectors 
appeared in K.Behrend & B.Fantechi's "The intrinsic normal cone". I will apply it with some 
property of obstruction theory to show the semiregularity, ie.
Kodaira's principle: ambient cohomology annihilates obstructions. The 
semiregularity was proven by H. Clemens('80s) in a complicated way and reproved 
by M. Manetti in 1997. The proof exhibit here would be short and different from 
the classical methods.


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