5 papers
Superelliptic degree sets over Henselian fields
Alexander Galarraga, Alexander Wang
Let be a discretely valued Henselian field. Creutz and Viray show that the degree set of a curve over a -adic field can miss infinitely many multiples of the index of $C…
On the Hasse Principle for conic bundles over even degree extensions
Sam Roven, Alexander Wang
Let be a number field and let be a smooth conic bundle. We show that if has four geometric singular fibers and either $X(\mathbb{A}_…
On maximal common divisors in Puiseux monoids
Evin Liang, Alexander Wang, Lerchen Zhong
Let be a commutative monoid. An element is called a maximal common divisor of a nonempty subset of if is a common divisor of in and the only commo…
On the Hasse Principle for conic bundles over even degree extensions
Sam Roven
Let be a number field and let be a smooth conic bundle. We show that if has four geometric singular fibers with $X(\mathbb{A}_k)\ne…
Centrally symmetric and balanced triangulations of with few vertices
Alexander Wang, Hailun Zheng
A small triangulation of the sphere product can be found in lower dimensions by computer search and is known in few other cases: Klee and Novik constructed a centrally symmetric tr…