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arXiv · 2306.10566

Wide subcategories of a domestic weighted projective line

Yiyu Cheng
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Abstract

For a weighted projective line X, a wide subcategory of the category coh-X of coherent sheaves over X is called c-invariant if it is closed under the grading shift of the canonical element c. We proved that a c-invariant wide subcategory of coh-X containing a vector bundle is the perpendicular category of a torsion exceptional sequence. If X is of dometic type, then the poset of wide subcategories of coh-X is the union of the poset of wide subcategories generated by an exceptional sequence and the poset of c-invariant wide subcategories.

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BibTeXRIS

Yiyu Cheng. 2023-06-18. Wide subcategories of a domestic weighted projective line. https://arxiv.org/abs/2306.10566

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