Algebraic surfaces, Four-folds and Moonshine

TL;DR

This paper explores the connection between the elliptic genus of complex algebraic surfaces and Mathieu moonshine, extending the discussion to four-dimensional algebraic varieties.

Contribution

It highlights a novel link between algebraic surface elliptic genera and Mathieu moonshine, and discusses the case of four-folds.

Findings

Identifies a relationship between elliptic genera and Mathieu moonshine.

Extends the discussion to four-folds in algebraic geometry.

Provides insights into the structure of algebraic varieties in the context of moonshine.

Abstract

The aim of this note is to point out an interesting fact related to the elliptic genus of complex algebraic surfaces in the context of Mathieu moonshine. We also discuss the case of 4-folds.