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arXiv · 2005.09884

Orthogonal exceptional collections from $\mathbb{Q}$-Gorenstein degeneration of surfaces

Yonghwa Cho
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Abstract

We consider a surface that admits a $\mathbb{Q}$-Gorenstein degeneration to a cyclic quotient singularity $\frac{1}{dn^2}(1,dna-1)$. Under several technical assumptions, we construct $d$ exceptional vector bundles of rank $n$ which are orthogonal to each other.

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Yonghwa Cho. 2020-05-20. Orthogonal exceptional collections from $\mathbb{Q}$-Gorenstein degeneration of surfaces. https://arxiv.org/abs/2005.09884

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