Derived deformations of schemes
J.P.Pridham
TL;DR
This paper presents a novel method for constructing derived deformation groupoids using strong homotopy bialgebras, enabling their application to all classical deformation problems across different characteristics.
Contribution
It introduces a new approach to derived deformation theory by linking groupoids to strong homotopy bialgebras, applicable to all classical deformation problems.
Findings
Constructed derived deformation groupoids for schemes.
Applicable to deformation problems in any characteristic.
Provides a unified framework for classical deformation theories.
Abstract
We introduce a new approach to constructing derived deformation groupoids, by considering them as parameter spaces for strong homotopy bialgebras. This allows them to be constructed for all classical deformation problems, such as deformations of an arbitrary scheme, in any characteristic.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Numerical Analysis Techniques · Algebraic and Geometric Analysis