Projections of del Pezzo surfaces and Calabi--Yau threefolds
Algebraic Geometry
2015-03-05 v5
Abstract
We study the syzygetic structure of projections of del Pezzo surfaces in order to construct singular Calabi-Yau threefolds. By smoothing those threefolds, we obtain new examples of Calabi-Yau threefolds with Picard group of rank 1. We also give an example of type II primitive contraction whose exceptional divisor is the blow-up of the projective plane at a point.
Keywords
Cite
@article{arxiv.1010.3895,
title = {Projections of del Pezzo surfaces and Calabi--Yau threefolds},
author = {Grzegorz Kapustka},
journal= {arXiv preprint arXiv:1010.3895},
year = {2015}
}
Comments
A table of known Calabi--Yau threefolds with Picard number 1 is added, to appear in Advances in Geometry