A conjecture on special linear systems of P^3
Antonio Laface, Luca Ugaglia
TL;DR
This paper investigates the behavior of linear systems of P^3 with fat points under a specific Cremona transformation, proposing a conjecture that characterizes all such special systems.
Contribution
It introduces a conjecture suggesting a complete classification of special linear systems of P^3 influenced by a cubo-cubic Cremona transformation.
Findings
Identification of a class of special systems
Proposal of a conjecture for their uniqueness
Insights into transformations of linear systems
Abstract
In this note we consider the behavior of linear systems of P^3 through fat points under a cubo-cubic Cremona transformation. This allows us to produce a class of special systems which we conjecture to be the only ones.
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
TopicsPolynomial and algebraic computation · Coding theory and cryptography · Algebraic Geometry and Number Theory