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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Analytic Number Theory Research
