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arXiv · 2608.13916

Rank-two weak Fano bundles on a four-dimensional quadric hypersurface $Q^4$

Yuta Takahashi
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Abstract

We classify rank $2$ weak Fano bundles on a four-dimensional smooth quadric hypersurface $Q^4$. Up to twisting with a line bundle, such a bundle is either a split bundle, a spinor bundle, or one of the stable bundles with Chern classes $c_1=-1$ and $c_2=(1,1)$ constructed in [APW94].

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Yuta Takahashi. 2026-08-14. Rank-two weak Fano bundles on a four-dimensional quadric hypersurface $Q^4$. https://arxiv.org/abs/2608.13916

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