Exceptional collections and phantoms of special Dolgachev surfaces

Author:

Ilya Karzhemanov, Ludmil Katzarkov

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-10-19 16:00:00

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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