Derived Kodaira Spencer map, Cosection lemma, and semiregularity

Details Derived Kodaira Spencer map, Cosection lemma, and semiregularity Derived Kodaira Spencer map, Cosection lemma, and semiregularity

2008-08-07

arxiv.org/abs/0808.0988v2

Mathematics

Algebraic Geometry

10 pages

Scientific paper

The cosection lemma proved by J. Li and Y.H. Kiem said the intrinsic normal cone lies inside the kernel of any cosection of the obstruction sheaf when the moduli has a perfect obstruction theory. With a definition of higher tangent vectors of a scheme at a point, and a construction of the derived Kodaira Spencer map by K. Behrend and B. Fantechi, we prove a derived version of cosection lemma without perfect obstruction theory condition. As an application we give a short proof of the Kodaira's Principle \textit{ambient cohomology annihilates obstruction} (semiregularity), assuming the existence of locall universal family.

Affiliated with

Also associated with

No associations

Rating

Derived Kodaira Spencer map, Cosection lemma, and semiregularity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Derived Kodaira Spencer map, Cosection lemma, and semiregularity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derived Kodaira Spencer map, Cosection lemma, and semiregularity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-213427