30 citations · 107 across the 20 of their papers we have counts for
4 papers · 2 filters
The Maximal Rank Conjecture
Eric Larson
Let C be a general curve of genus g, embedded in P^r via a general linear series of degree d. In this paper, we prove the Maximal Rank Conjecture, which determines the Hilbert func…
Constructing Reducible Brill--Noether Curves II
Eric Larson
In this paper, we study maps from reducible curves . We restrict our attention to two cases: first, when factors through a hyperplane and…
Interpolation for Curves in Projective Space with Bounded Error
Eric Larson
Given n general points p_1, p_2,..., p_n \in P^r, it is natural to ask whether there is a curve of given degree d and genus g passing through them; by counting dimensions a natural…
Interpolation for Brill-Noether curves in
Eric Larson, Isabel Vogt
In this paper, we compute the number of general points through which a general Brill-Noether curve in passes. We also prove an analogous theorem when some points are…