2 papers
math.AG2023
Severi curves of rational elliptic surfaces
François Greer, Joseph Helfer, John Sheridan
We study Severi curves parametrizing rational bisections of elliptic fibrations associated to general pencils of plane cubics. Our main results show that these Severi curves are co…
math.AG2019
Divisor varieties of symmetric products
John Sheridan
The geometry of divisors on algebraic curves has been studied extensively over the years. The foundational results of this Brill-Noether theory imply that on a general curve, the s…