Comments on Fano varieties with torsion in $H^3(X, {\mathbb Z})$ by J. C. Ottem and J. V. Rennemo

Abstract

Ottem and Rennemo constructed a Fano 4-fold with torsion in $H_2(X, \mathbb Z)$. We simplify the computation of $H_2(X, \mathbb Z)$ and also exhibit 2 lines $L', L''\subset X$ such that $L'- L''$ generates the torsion.