Invariance of tautological equations I: conjectures and applications
Y.-P. Lee
TL;DR
This paper introduces conjectures on tautological ring relations and presents an algorithm for calculating tautological equations efficiently using finite-dimensional linear algebra, with potential applications.
Contribution
It proposes new conjectures on tautological relations and develops an efficient linear algebra-based algorithm for their computation.
Findings
Algorithm effectively computes tautological equations.
Framework simplifies understanding of tautological relations.
Potential applications in algebraic geometry.
Abstract
The main goal of this paper is to introduce a set of conjectures on the relations in the tautological rings. In particular, the framework gives an efficient algorithm to calculate all tautological equations using only finite dimensional linear algebra. Other applications are also indicated.
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
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Nonlinear Waves and Solitons