Abstract
The gonality sequence (dr)r>1 of a smooth algebraic curve comprises the minimal degrees dr of linear systems of rank r. We explain two approaches to compute the gonality sequence of smooth curves in P1 ×P1: a tropical and a classical approach. The tropical approach uses the recently developed Brill–Noether theory on tropical curves and Baker’s specialization of linear systems from curves to metric graphs [1].
Original language | English |
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Pages (from-to) | 323-341 |
Number of pages | 19 |
Journal | Algebraic Combinatorics |
Volume | 2 |
Issue number | 3 |
DOIs | |
State | Published - 2019 |
Bibliographical note
Publisher Copyright:© The journal and the authors, 2019.
Keywords
- Bipartite graphs
- Curves
- Gonality sequence
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics