D. Kanevsky

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20002026

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math.AG2026

$R$ -equivalence on Cubic Surfaces I: Existing Cases with Non-Trivial Universal Equivalence

Dimitri Kanevsky, Julian Salazar, Matt Harvey

Let $V$ be a smooth cubic surface over a $p$ -adic field $k$ with good reduction. Swinnerton-Dyer (1981) proved that $R$ -equivalence is trivial on $V (k)$ except perhaps if $V$ is on…

math.AG2000

Composition of points and Mordell-Weil problem for cubic surfaces

D. Kanevsky, Yu. Manin

Let $V$ be a plane smooth cubic curve over a finitely generated field $k .$ The Mordell-Weil theorem for $V$ states that there is a finite subset $P \subset V (k)$ such that the whole…

R-equivalence on Cubic Surfaces I: Existing Cases with Non-Trivial Universal Equivalence

Composition of points and Mordell-Weil problem for cubic surfaces

$R$ -equivalence on Cubic Surfaces I: Existing Cases with Non-Trivial Universal Equivalence