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 .
|Number of pages||19|
|State||Published - 2019|
Bibliographical noteFunding Information:
Acknowledgements. Marta Panizzut is supported by the Einstein Foundation Berlin.
© The journal and the authors, 2019.
- Bipartite graphs
- Gonality sequence
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics