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

Algebraic Geometry 2020-05-21 v1

Abstract

We consider a surface that admits a Q\mathbb{Q}-Gorenstein degeneration to a cyclic quotient singularity 1dn2(1,dna1)\frac{1}{dn^2}(1,dna-1). Under several technical assumptions, we construct dd exceptional vector bundles of rank nn which are orthogonal to each other.

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Cite

@article{arxiv.2005.09884,
  title  = {Orthogonal exceptional collections from $\mathbb{Q}$-Gorenstein degeneration of surfaces},
  author = {Yonghwa Cho},
  journal= {arXiv preprint arXiv:2005.09884},
  year   = {2020}
}

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17 pages