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arXiv · 2310.13319

Exceptional collections and phantoms of special Dolgachev surfaces

Ilya Karzhemanov·Ludmil Katzarkov
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Abstract

We provide an explicit description of exceptional collection of maximal length in the derived category $D^b(Y)$ for a particular class of elliptic surfaces $Y$. The existence of non\,-\,trivial semiorthogonal complement (a "\,phantom\,") of this collection is also established.

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Ilya Karzhemanov, Ludmil Katzarkov. 2023-10-20. Exceptional collections and phantoms of special Dolgachev surfaces. https://arxiv.org/abs/2310.13319

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