English

Tropical Tevelev degrees

Algebraic Geometry 2026-04-15 v1

Abstract

We define the tropical Tevelev degrees, Tevgtrop\mathsf{Tev}_g^{trop}, 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\mathsf{Tev}_g^{trop} = 2^g. We prove that these tropical enumerative invariants agree with their algebraic counterparts, giving an independent tropical computation of the algebraic degrees TevgTev_g.

Keywords

Cite

@article{arxiv.2407.20025,
  title  = {Tropical Tevelev degrees},
  author = {Renzo Cavalieri and Erin Dawson},
  journal= {arXiv preprint arXiv:2407.20025},
  year   = {2026}
}
R2 v1 2026-06-28T17:56:55.838Z