Tropical Tevelev degrees
Abstract
Abstract We define the tropical Tevelev degrees , sans serif upper T sans serif e sans serif v Subscript g Superscript monospace t monospace r monospace o monospace p T e v g t r o p ${\mathsf{Tev}}_g^{\mathtt{trop}}$ , 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 sans serif upper T sans serif e sans serif v Subscript g Superscript monospace t monospace r monospace o monospace p Baseline equals 2 Superscript g T e v g t r o p = 2 g ${\mathsf{Tev}}_g^{\mathtt{trop}} = 2^g$ . We prove that these tropical enumerative invariants agree with their algebraic counterparts, giving an independent tropical computation of the algebraic degrees sans serif upper T sans serif e sans serif v Subscript g T e v g ${\mathsf{Tev}}_g$ .
Fields of Study & Subjects
Geophysics and Gravity Measurements
Advanced Topics in Algebra
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publisher
- Cambridge University Press (CUP)
- Volume
- 181
- Issue
- 2
- Pages
- 971–1000
- Publication date
- 13 April 2026
- Language
- EN