The maximal free rational quotient
Jason Michael Starr
TL;DR
This paper proves the existence of a maximal quotient of an algebraic variety obtained by free rational curves, providing a foundational result in the study of rationally connected varieties.
Contribution
It establishes the existence of the maximal free rational quotient, a key concept in understanding the structure of varieties via free rational curves.
Findings
Existence of the maximal free rational quotient proven.
Provides a fundamental tool for studying rational connectivity.
Lays groundwork for further structural analysis of algebraic varieties.
Abstract
This short, expository note proves the existence of the maximal quotient of a variety by free rational curves.
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 · Analytic Number Theory Research