Limit Linear Series on Chains of Elliptic Curves and Tropical Divisors on Chains of Loops
Documenta mathematica, Tome 22 (2017), pp. 263-286.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14H60, 14T05, 14H51
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     author = {L\'opez Mart{\'\i}n, Alberto and Teixidor i Bigas, Montserrat},
     title = {Limit {Linear} {Series} on {Chains} of {Elliptic} {Curves} and {Tropical} {Divisors} on {Chains} of {Loops}},
     journal = {Documenta mathematica},
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López Martín, Alberto; Teixidor i Bigas, Montserrat. Limit Linear Series on Chains of Elliptic Curves and Tropical Divisors on Chains of Loops. Documenta mathematica, Tome 22 (2017), pp. 263-286. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a44/