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math.AG2018
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…
math.AG2018
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…