Virtual Cartier divisors and blow-ups
Adeel A. Khan, David Rydh
TL;DR
This paper introduces the concept of virtual effective Cartier divisors to establish a universal property for blow-ups in regularly immersed subschemes and extends these constructions to derived algebraic geometry.
Contribution
It presents a new framework for understanding blow-ups via virtual Cartier divisors and constructs blow-ups in the context of derived algebraic geometry.
Findings
Established a universal property for blow-ups using virtual Cartier divisors
Constructed blow-ups of quasi-smooth closed immersions in derived algebraic geometry
Extended classical blow-up theory to derived settings
Abstract
We prove a universal property for blow-ups in regularly immersed subschemes, based on a notion we call "virtual effective Cartier divisor". We also construct blow-ups of quasi-smooth closed immersions in derived algebraic geometry.
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 · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory