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arXiv · 2212.04158

A remark by Daniel Ferrand on bundles on Fano threefolds

Gianfranco Casnati·Angelo Felice Lopez
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Abstract

Let $X$ be a Fano threefold with index $i_X$ and fundamental line bundle $\mathcal O_X(h)$. We classify $\mu$-semistable rank two bundles $\mathcal E$ on $X$ with $c_1(\mathcal E)=0$, $h^0(\mathcal E) \ne 0$ and $h^1(\mathcal E(-\lceil\frac{i_X}{2}\rceil h))=0$.

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Gianfranco Casnati, Angelo Felice Lopez. 2022-12-08. A remark by Daniel Ferrand on bundles on Fano threefolds. https://arxiv.org/abs/2212.04158

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