# Erratum to the paper: Integral cohomology of the Generalized Kummer   fourfold

**Authors:** Simon Kapfer, Gr\'egoire Menet

arXiv: 1907.07031 · 2019-07-17

## TL;DR

This paper corrects a previous proof regarding the integral cohomology of generalized Kummer fourfolds, establishing that it is torsion free in dimension 4.

## Contribution

It provides a corrected proof confirming the torsion-free nature of the integral cohomology for generalized Kummer fourfolds.

## Key findings

- Integral cohomology of generalized Kummer fourfolds is torsion free.
- Corrected proof of the previous theorem in dimension 4.
- Clarification of the cohomological properties of these fourfolds.

## Abstract

We provide a correct proof of arXiv:1607.03431, Theorem 5.2 in dimension 4. More precisely, we show that the integral cohomology of the generalized Kummer fourfold is torsion free.

## Full text

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## References

10 references — full list in the complete paper: https://tomesphere.com/paper/1907.07031/full.md

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Source: https://tomesphere.com/paper/1907.07031