Degeneration of linear series from the tropical point of view and applications
M Baker, D Jensen - Nonarchimedean and tropical geometry, 2016 - Springer
We discuss linear series on tropical curves and their relation to classical algebraic geometry,
describe the main techniques of the subject, and survey some of the recent major …
describe the main techniques of the subject, and survey some of the recent major …
Brill-Noether theory for curves of a fixed gonality
D Jensen, D Ranganathan - Forum of Mathematics, Pi, 2021 - cambridge.org
We prove a generalisation of the Brill-Noether theorem for the variety of special divisors on a
general curve C of prescribed gonality. Our main theorem gives a closed formula for the …
general curve C of prescribed gonality. Our main theorem gives a closed formula for the …
[HTML][HTML] On metric graphs with prescribed gonality
F Cools, J Draisma - Journal of Combinatorial Theory, Series A, 2018 - Elsevier
We prove that in the moduli space of genus-g metric graphs the locus of graphs with gonality
at most d has the classical dimension min{3 g− 3, 2 g+ 2 d− 5}. This follows from a careful …
at most d has the classical dimension min{3 g− 3, 2 g+ 2 d− 5}. This follows from a careful …
Smoothing of limit linear series on curves and metrized complexes of pseudocompact type
X He - Canadian Journal of Mathematics, 2019 - cambridge.org
We investigate the connection between Osserman limit series (on curves of pseudocompact
type) and Amini–Baker limit linear series (on metrized complexes with corresponding …
type) and Amini–Baker limit linear series (on metrized complexes with corresponding …
[图书][B] Lifting Properties of Tropicalization and Their Connection to Brill-Noether Theory
X He - 2018 - search.proquest.com
In this thesis we present the three preprints [He16],[He17b], and [He17a] composed by the
author as a graduate student. In the first paper we consider the tropicalization map on an …
author as a graduate student. In the first paper we consider the tropicalization map on an …