Tropicalization of $\psi$ classes

TL;DR

This paper establishes a connection between algebraic and tropical c7b5b3b9b1c2; classes by endowing tropicalized families of logarithmic curves with an affine structure, enabling the tropical c7b5b3b9b1c2; classes to be viewed as tropicalizations.

Contribution

It introduces a method to endow tropicalizations of logarithmic curves with an affine structure, linking algebraic and tropical c7b5b3b9b1c2; classes.

Findings

Tropical c7b5b3b9b1c2; classes can be realized as tropicalizations.

Affine structures on tropicalized families facilitate the study of algebraic classes.

The approach bridges algebraic and tropical geometry in the context of c7b5b3b9b1c2; classes.

Abstract

Under suitable conditions on a family of logarithmic curves, we endow the tropicalization of the family with an affine structure in a neighborhood of the sections in such a way that the tropical $\psi$ classes from \cite{psi-classes} arise as tropicalizations of algebraic $\psi$ classes.