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Tropical Tevelev degrees

2024/07/29 by Cavalieri, Renzo, Dawson, Erin · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.20025

Abstract

We define the tropical Tevelev degrees, Tevgtrop, as the degree of a natural finite morphism between certain tropical moduli spaces, in analogy to the algebraic case. We develop an explicit combinatorial construction that computes Tevgtrop = 2g. We prove that these tropical enumerative invariants agree with their algebraic counterparts, giving an independent tropical computation of the algebraic degrees Tevg.

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