| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4596023 | Journal of Pure and Applied Algebra | 2015 | 8 Pages |
Abstract
A Laurent polynomial f in two variables naturally describes a projective curve C(f)C(f) on a toric surface. We show that if C(f)C(f) is a smooth curve of genus at least 7, then C(f)C(f) is not Brill–Noether general. To accomplish this, we classify all Newton polygons that admit such curves whose divisors all have nonnegative Brill–Noether number.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Geoffrey Smith,