Exceptional collections and phantoms of special Dolgachev surfaces
Algebraic Geometry
2023-10-23 v1
Abstract
We provide an explicit description of exceptional collection of maximal length in the derived category for a particular class of elliptic surfaces . The existence of non\,-\,trivial semiorthogonal complement (a "\,phantom\,") of this collection is also established.
Keywords
Cite
@article{arxiv.2310.13319,
title = {Exceptional collections and phantoms of special Dolgachev surfaces},
author = {Ilya Karzhemanov and Ludmil Katzarkov},
journal= {arXiv preprint arXiv:2310.13319},
year = {2023}
}
Comments
29 pages, 3 figures, 1 table