PreprintCC BY 4.0arXiv
Rank-two weak Fano bundles on a four-dimensional quadric hypersurface Q4
Abstract
We classify rank $2$ weak Fano bundles on a four-dimensional smooth quadric hypersurface Q4. 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 c1=−1 and c2=(1,1) constructed in [APW94].
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BibTeX
@misc{takahashi2026ranktwo,
title = {{Rank-two weak Fano bundles on a four-dimensional quadric hypersurface $Q^4$}},
author = {Yuta Takahashi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.13916},
eprint = {2608.13916},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.13916},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Rank-two weak Fano bundles on a four-dimensional quadric hypersurface Q^4
AU - Yuta Takahashi
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2608.13916
UR - https://arxiv.org/abs/2608.13916
AB - 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].
ER -