56 citations · 113 across the 32 of their papers we have counts for
41 papers
A Riemann-Hurwitz-Plucker formula
Brian Osserman, Adrian Zahariuc
We prove a simultaneous generalization of the classical Riemann-Hurwitz and Plucker formulas, addressing the total inflection of a morphism from a (smooth, projective) curve to an…
On the Solvability of Viewing Graphs
Matthew Trager, Brian Osserman, Jean Ponce
A set of fundamental matrices relating pairs of cameras in some configuration can be represented as edges of a "viewing graph". Whether or not these fundamental matrices are generi…
The strong maximal rank conjecture and moduli spaces of curves
Fu Liu, Brian Osserman, Montserrat Teixidor i Bigas +1
Building on recent work of the authors, we use degenerations to chains of elliptic curves to prove two cases of the Aprodu-Farkas strong maximal rank conjecture, in genus and…
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…
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…