JournalsdmVol. 22pp. 263–286

Limit Linear Series on Chains of Elliptic Curves and Tropical Divisors on Chains of Loops

  • Alberto López Martín

    Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro RJ, Brazil

  • Montserrat Teixidor i Bigas

    Department of Mathematics, Tufts University, 503 Boston Avenue, Medford MA 02155, USA
Limit Linear Series on Chains of Elliptic Curves and Tropical Divisors on Chains of Loops cover
Download PDF

This article is published open access.

Abstract

We describe the space of Eisenbud-Harris limit linear series on a chain of elliptic curves and compare it with the theory of divisors on tropical chains. Either model allows to compute some invariants of Brill-Noether theory using combinatorial methods. We introduce effective limit linear series.

Cite this article

Alberto López Martín, Montserrat Teixidor i Bigas, Limit Linear Series on Chains of Elliptic Curves and Tropical Divisors on Chains of Loops. Doc. Math. 22 (2017), pp. 263–286

DOI 10.4171/DM/565