Ulrich bundles on the degree six Segre fourfold
arXiv:1903.01439 · doi:10.1016/j.jalgebra.2020.01.026
Abstract
We study the resolution of an Ulrich bundle of arbitrary rank on the Segre fourfold $\PP^2\times\PP^2$. We characterize the Ulrich bundles $\Vv$ of arbitrary rank on $\PP^2\times\PP^2$ with $h^1(\Vv\otimesΩ\boxtimesΩ)=0$ or with $h^2(\Vv\otimesΩ(-1)\boxtimesΩ(-1))=0$ or obtained as pullback from $\PP^2$ and we construct more complicated examples.
This version aims to correct two typing errors in the statement of Theorem 4.7 appearing in the published paper. arXiv admin note: text overlap with arXiv:1705.07790