1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
Ranks of maps of vector bundles
Montserrat Teixidor i Bigas
We generalize to vector bundles the techniques introduced for line bundles in prior work of the author with Liu, Osserman and Zhang. We then use this method to prove the injectivit…
Rational Curves on Moduli Spaces of Vector Bundles
Yusuf Mustopa, Montserrat Teixidor i Bigas
We completely describe the components of expected dimension of the Hilbert Scheme of rational curves of fixed degree in the moduli space of semistable vecto…
Rank two vector bundles with canonical determinant
Montserrat Teixidor i Bigas
Denote by B^k_{2,K} the locus of vector bundles of rank two and canonical determinant. We show that for a generic curve of genus g, B^k_{2,K} is non-empty if g is sufficiently larg…