A tropical proof of the Brill-Noether Theorem
Algebraic Geometry
2012-03-30 v3 Combinatorics
Abstract
We produce Brill-Noether general graphs in every genus, confirming a conjecture of Baker and giving a new proof of the Brill-Noether Theorem, due to Griffiths and Harris, over any algebraically closed field.
Cite
@article{arxiv.1001.2774,
title = {A tropical proof of the Brill-Noether Theorem},
author = {Filip Cools and Jan Draisma and Sam Payne and Elina Robeva},
journal= {arXiv preprint arXiv:1001.2774},
year = {2012}
}
Comments
17 pages, 5 figures; v3: added a new Section 3, detailing how the classical Brill-Noether theorem for algebraic curves follows from Theorem 1.1. Update references, minor expository improvements