2 citations · 4 across the 6 of their papers we have counts for
9 papers
Harmonically lifting linear series from curves to K3 surfaces
Richard Haburcak
We investigate the question of which Brill--Noether special linear series on a curve on a K3 surface lift to the surface. Work of Reid, Donagi--Morrison, Green--Lazarsfeld, Lelli-C…
Pointed Hurwitz--Brill--Noether theory
Andrei Bud, Richard Haburcak
We study the geometry of Hurwitz--Brill--Noether spaces with vanishing conditions at a totally ramified point. Degeneration to a curve with an elliptic tail simplifies the combinat…
Brill--Noether loci in genus
Richard Haburcak
A refined Brill--Noether theory seeks to determine which linear series are admitted by a ``general'' curve in a particular Brill--Noether locus. However, as Brill--Noether loci are…
Some reducible and irreducible Brill-Noether loci
Richard Haburcak, Montserrat Teixidor i Bigas
We investigate limit linear series on chains of elliptic curves, giving a simple proof of a conjecture of Farkas stating the existence of curves with a theta-characteristic with a…
Distinguishing Brill-Noether loci
Asher Auel, Richard Haburcak, Andreas Leopold Knutsen
We construct curves carrying certain special linear series and not others, showing many non-containments between Brill-Noether loci in the moduli space of curves. In particular, we…
Maximal Brill-Noether loci via degenerations and double covers
Andrei Bud, Richard Haburcak
Using limit linear series on chains of curves, we show that closures of certain Brill--Noether loci contain a product of pointed Brill--Noether loci of small codimension. As a resu…
Maximal Brill--Noether loci via the gonality stratification
Asher Auel, Richard Haburcak, Hannah Larson
We study the restriction of Brill-Noether loci to the gonality stratification of the moduli space of curves of fixed genus. As an application, we give new proofs that Brill-Noether…
Curves on Brill-Noether special K3 surfaces
Richard Haburcak
Mukai showed that projective models of Brill-Noether general polarized K3 surfaces of genus and are obtained as linear sections of projective homogeneous varieties, and…
Maximal Brill-Noether loci via K3 surfaces
Asher Auel, Richard Haburcak
We explain a strategy for distinguishing Brill-Noether loci in the moduli space of curves by studying the lifting of linear systems on curves in polarized K3 surfaces, which motiva…