8 citations · 31 across the 20 of their papers we have counts for
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The Strong Maximal Rank Conjecture and higher rank Brill--Noether theory
Ethan Cotterill, Adrián Alonso Gonzalo, Naizhen Zhang
In this paper, we compute the cohomology class of certain "special maximal-rank loci" originally defined by Aprodu and Farkas. By showing that such classes are nonzero, we are able…
Inflection divisors of linear series on an elliptic curve
Ethan Cotterill, Cristhian Garay López
In this largely-expository note, we describe a class of divisors on elliptic curves that index the inflection points of linear series arising (as subspaces of holomorphic sections)…
Secant planes of a general curve via degenerations
Ethan Cotterill, Xiang He, Naizhen Zhang
We study linear series on a general curve of genus g, whose images are exceptional with respect to their secant planes. Each such exceptional secant plane is algebraically encoded…