4 papers
Twice-Marked Banana Graphs & Brill-Noether Generality
Nathan Pflueger, Noah Solomon
We analyze a family of graphs known as banana graphs, with two marked vertices, through the lens of Hurwitz-Brill-Noether theory. As an application, we construct explicit new examp…
(Hurwitz-)Brill-Noether general marked graphs via the Demazure product
Nathan Pflueger
This paper gives a novel and compact proof that a metric graph consisting of a chain of loops of torsion order is Brill-Noether general (a theorem of Cools-Draisma-Payne-Robeva…
Combinatorial relations on skew Schur and skew stable Grothendieck polynomials
Melody Chan, Nathan Pflueger
We give a combinatorial expansion of the stable Grothendieck polynomials of skew Young diagrams in terms of skew Schur functions, using a new row insertion algorithm for set-valued…
The Gieseker-Petri theorem and imposed ramification
Melody Chan, Brian Osserman, Nathan Pflueger
We prove a smoothness result for spaces of linear series with prescribed ramification on twice-marked elliptic curves. In characteristic 0, we then apply the Eisenbud-Harris theory…