Geodesic
Limit Linear Series on Chains of Elliptic Curves and Tropical Divisors on Chains of Loops
Documenta mathematica, Tome 22 (2017), pp. 263-286
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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.
DOI : 10.4171/dm/565
Classification : 14H51, 14H60 
@article{10_4171_dm_565,
     author = {Montserrat Teixidor i Bigas and Alberto L\'opez Mart{\'\i}n},
     title = {Limit {Linear} {Series} on {Chains} of {Elliptic} {Curves} and {Tropical} {Divisors} on {Chains} of {Loops}},
     journal = {Documenta mathematica},
     pages = {263--286},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/565},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/565/}
}
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Montserrat Teixidor i Bigas; Alberto López Martín. Limit Linear Series on Chains of Elliptic Curves and Tropical Divisors on Chains of Loops. Documenta mathematica, Tome 22 (2017), pp. 263-286. doi: 10.4171/dm/565

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