5 citations · 11 across the 15 of their papers we have counts for
4 papers · 1 filter
An observation on (-1)-curves on rational surfaces
Olivia Dumitrescu, Brian Osserman
We give an effective iterative characterization of the classes of (smooth, rational) (-1)-curves on the blowup of the projective plane at general points. Such classes are character…
Multigraded Cayley-Chow forms
Brian Osserman, Matthew Trager
We introduce a theory of multigraded Cayley-Chow forms associated to subvarieties of products of projective spaces. Two new phenomena arise: first, the construction turns out to re…
Limit linear series and the Amini-Baker construction
Brian Osserman
We draw comparisons between the author's recent construction of limit linear series for curves not of compact type and the Amini-Baker theory of limit linear series on metrized com…
Connectedness of Brill-Noether loci via degenerations
Brian Osserman
We show that limit linear series spaces for chains of curves are reduced. Using new advances in the foundations of limit linear series, we then use degenerations to study the quest…