Euler characteristics, Fubini's theorem, and the Riemann-Hurwitz formula

TL;DR

This paper explores the connections between Fubini's theorem for Euler characteristics, the Riemann-Hurwitz formula, and algebraic geometry, providing new insights and potential applications to wild ramification in finite characteristic.

Contribution

It establishes a novel relationship between Fubini's theorem and the Riemann-Hurwitz formula, rederives a classical result, and discusses applications in wild ramification.

Findings

Revealed a link between Euler characteristics and Riemann-Hurwitz formulae.

Provided a new proof of Iversen's classical result.

Discussed potential applications to wild ramification in finite characteristic.

Abstract

We relate Fubini's theorem for Euler characteristics to Riemann-Hurwtiz formulae, and reprove a classical result of Iversen. The techniques used include algebraic geometry, complex geometry, and model theory. Possible applications to the study of wild ramification in finite characteristic are discussed.