When is the self-intersection of a subvariety a fibration?
Algebraic Geometry
2011-02-09 v2 Quantum Algebra
Abstract
We provide a necessary and sufficient condition for the derived self-intersection of a smooth subscheme inside a smooth scheme to be a fibration over the subscheme. As a consequence we deduce a generalized HKR isomorphism. We also investigate the relationship of our result to path spaces in homotopy theory, Buchweitz-Flenner formality in algebraic geometry, and draw parallels with similar results in Lie theory and symplectic geometry.
Cite
@article{arxiv.1007.1671,
title = {When is the self-intersection of a subvariety a fibration?},
author = {Dima Arinkin and Andrei Caldararu},
journal= {arXiv preprint arXiv:1007.1671},
year = {2011}
}
Comments
29pp., LaTeX