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arXiv · 1903.01439

Ulrich bundles on the degree six Segre fourfold

Francesco Malaspina
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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.

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Francesco Malaspina. 2023-03-21. Ulrich bundles on the degree six Segre fourfold. https://doi.org/10.1016/j.jalgebra.2020.01.026

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