6 papers
Lifting Prym Divisors on a Bielliptic Loop of Loops
Phew Aung, Eric Burkholder, Joan Dalton +5
Let be a bielliptic curve over an algebraically closed nonarchimedean field of odd characteristic or characteristic zero, and let be an étale dou…
Prym-Brill-Noether Theory for General Covers
David Jensen
We bound the dimension of the Prym-Brill-Noether variety for an open subset of the moduli space of étale double covers of k-elliptic curves. We also obtain new bounds on the dimens…
Tropical linear series and matroids
Chih-Wei Chang, Matthew Dupraz, Hernan Iriarte +4
We study a notion of tropical linear series on metric graphs that combines two essential properties of tropicalizations of linear series on algebraic curves: the Baker-Norine rank…
Refined Brill-Noether Theory for Complete Graphs
Haruku Aono, Eric Burkholder, Owen Craig +3
The divisor theory of the complete graph is in many ways similar to that of a plane curve of degree . We compute the splitting types of all divisors on the complete graph…
On the Gonality of Ferrers Rook Graphs
David Jensen, Marissa Morvai, William Welch +1
A Ferrers rook graph is a graph whose vertices correspond to the dots in a Ferrers diagram, and where two vertices are adjacent if they are in the same row or the same column. We p…
Sliding Block Puzzles with a Twist: On Segerman's 15+4 Puzzle
Patrick Garcia, Angela Hanson, David Jensen +1
Segerman's 15+4 puzzle is a hinged version of the classic 15-puzzle, in which the tiles rotate as they slide around. In 1974, Wilson classified the groups of solutions to sliding b…