Retract rational varieties are uniformly retract rational
Juliusz Banecki
TL;DR
The paper proves that nonsingular retract rational varieties over infinite fields are uniformly retract rational, leading to the conclusion that rational, projective, nonsingular complex varieties are algebraically elliptic.
Contribution
It establishes that retract rational varieties are uniformly retract rational over infinite fields, connecting retract rationality with algebraic ellipticity.
Findings
Nonsingular retract rational varieties are uniformly retract rational.
Rational, projective, nonsingular complex varieties are algebraically elliptic.
The result holds over any infinite field.
Abstract
We prove that nonsingular retract rational algebraic varieties over any infinite field are uniformly retract rational. As a consequence, every rational, projective, nonsingular complex variety is algebraically elliptic.
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Taxonomy
TopicsPolynomial and algebraic computation · Commutative Algebra and Its Applications · Advanced Differential Equations and Dynamical Systems