52 citations · 193 across the 24 of their papers we have counts for
27 papers · 1 filter
The embedding theorem in Hurwitz-Brill-Noether Theory
Kaelin Cook-Powell, David Jensen, Eric Larson +2
We generalize the Embedding Theorem of Eisenbud-Harris from classical Brill-Noether theory to the setting of Hurwitz-Brill-Noether theory. More precisely, in classical Brill-Noethe…
Tropical Linear Series and Tropical Independence
David Jensen, Sam Payne
We propose a definition of tropical linear series that isolates some of the essential combinatorial properties of tropicalizations of not-necessarily-complete linear series on alge…
Recent Developments in Brill-Noether Theory
David Jensen, Sam Payne
We briefly survey recent results related to linear series on curves that are general in various moduli spaces, highlighting the interplay between algebraic geometry on a general cu…
Tropical Methods in Hurwitz-Brill-Noether Theory
Kaelin Cook-Powell, David Jensen
Splitting type loci are the natural generalizations of Brill-Noether varieties for curves with a distinguished map to the projective line. We give a tropical proof of a theorem of…
The Kodaira dimensions of and
Gavril Farkas, David Jensen, Sam Payne
We prove that the moduli spaces of curves of genus 22 and 23 are of general type. To do this, we calculate certain virtual divisor classes of small slope associated to linear serie…
Scrollar Invariants of Tropical Curves
David Jensen, Kalila Lehmann
We define scrollar invariants of tropical curves with a fixed divisor of rank 1. We examine the behavior of scrollar invariants under specialization, and provide an algorithm for c…