# Wild Singularities of Kummer Varieties

## TL;DR

This paper investigates the singularities of Kummer varieties in characteristic 2, providing explicit computations for those from elliptic curves and extending results to ordinary abelian varieties.

## Contribution

It offers the first detailed analysis of singularities of Kummer varieties in characteristic 2, generalizing from elliptic curves to broader abelian varieties.

## Key findings

- Computed singularities of Kummer varieties from elliptic curves in characteristic 2.
- Generalized singularity analysis to Kummer varieties from ordinary abelian varieties.
- Enhanced understanding of the structure of Kummer varieties in characteristic 2.

## Abstract

In characteristic $p=2$, we compute the singularities of Kummer varieties arising from products of elliptic curves. This result is generalized to Kummer varieties associated to ordinary abelian varieties.