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

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.

2010 Mathematics Subject Classification: Primary 14H60, 14T05; Secondary 14H51

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