Algebraization of a Cartier divisor
Dmitry Trushin
TL;DR
This paper extends classical algebraization results to pairs, specifically affine rig-smooth formal varieties with closed subvarieties, solving a problem posed by Temkin and impacting desingularization methods.
Contribution
It generalizes Elkik's algebraization results to pairs, providing new tools for desingularization and formal geometry.
Findings
Algebraization of affine rig-smooth formal varieties with closed subvarieties.
Resolution of a problem raised by Temkin.
Applications to desingularization theory.
Abstract
We extend to pairs classical results of R. Elkik on lifting of homomorphisms and algebraization. In particular, we establish algebraization of an affine rig-smooth formal variety with a rig-smooth closed subvariety. This solves affirmatively a problem raised by M. Temkin and has applications to desingularization theory.
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
TopicsAdvanced Topics in Algebra · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology