3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Matroids and semirings attached to toric singularity arrangements
Ethan Cotterill, Cristhian Garay López
Curve singularities are classical objects of study in algebraic geometry. The key player in their combinatorial structure is the {\it value semigroup}, or its compactification, the…
Towards Brill--Noether theory for cuspidal curves
Ethan Cotterill, Renato Vidal Martins
Understanding when an abstract complex curve of given genus comes equipped with a map of fixed degree to a projective space of fixed dimension is a foundational question; and Brill…
Rational curves of degree 16 on a general heptic fourfold
Ethan Cotterill
According to a conjecture of H. Clemens, the dimension of the space of rational curves on a general projective hypersurface should equal the number predicted by a naïve dimension c…
Effective divisors on $\ov{\mc{M}}_g$ associated to curves with exceptional secant planes
Ethan Cotterill
This paper is a sequel to \cite{C}, in which the author studies secant planes to linear series on a curve that is general in moduli. In that paper, the author proves that a general…