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
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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