4 papers
Degenerations of Grassmannians via lattice configurations II
Xiang He, Naizhen Zhang
This paper is a continuation of our study of degenerations of Grassmannians in our last paper, called linked Grassmannians, constructed using convex lattice configurations in Bruha…
When are multidegrees positive?
Federico Castillo, Yairon Cid-Ruiz, Binglin Li +2
Let be an arbitrary field, be a multiprojective space over , and be a closed subscheme of . We provide…
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…
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…