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 $L^{\prime },L^{\prime \prime }\subset X$ such that $L^{\prime }-L^{\prime \prime }$ generates the torsion.

comments on arXiv:2309.10793