Matthew S. Harvey

collaborators

2 papers

cs.CG2026

Unfolding Overlaps of the Exceptional Regular Polytopes

Satyan L. Devadoss, Matthew Harvey, David Richter

We find explicit ridge unfoldings of the three exceptional 4D polytopes (24-cell, 120-cell, 600-cell) that result in overlaps of their facets. These failures bring an end to the fu…

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…

Unfolding Overlaps of the Exceptional Regular Polytopes

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

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