Degeneration of Linear Series from the Tropical Point of View and Applications

By Matthew Baker, David Jensen. 2015

75 citations recorded by the source corpus.

We discuss linear series on tropical curves and their relation to classical algebraic geometry, describe the main techniques of the subject, and survey some of the recent major developments in the field, with an emphasis on applications to problems in Brill–Noether theory and arithmetic geometry.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a0f09d3c93f2ca08c082d15dc8cd6c7230c7f1af

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Dhruv Ranganathan
2. David Jensen

In Geometry and Topology

1. Dhruv Ranganathan
2. David Jensen

In Statistical and Nonlinear Physics

1. Dhruv Ranganathan
2. David Jensen

Citations in the corpus

• Brill-Noether theory for curves of a fixed gonality (2017, background): “For more on the divisor theory of metric graphs, we refer the reader to [8, 9].”