When is the self-intersection of a subvariety a fibration?

By D. Arinkin, Andrei Căldăraru. 2010

53 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6201570e7370e4d627a28dd06a86247c0dca6e5a

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In Algebra and Number Theory

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Derived Algebraic Geometry (2014, methodology): “We refer to [4, 55] for more details on the subject, and to [25] for some refinement.”
Derived algebraic geometry (2014, methodology): “We refer to [4, 55] for more details on the subject, and to [25] for some refinement.”