Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections
Algebraic Geometry
2011-05-25 v4
Abstract
We study Kustin-Miller unprojections between Calabi-Yau threefolds or more precisely the geometric transitions they induce. We use them to connect many families of Calabi-Yau threefolds with Picard number one to the web of Calabi Yau complete intersections. This enables us to find explicit description of a few known families of Calabi-Yau threefolds in terms of equations. Moreover we find two new examples of Calabi-Yau threefolds with Picard group of rank one, described by Pfaffian equations in weighted projective spaces.
Keywords
Cite
@article{arxiv.1005.5558,
title = {Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections},
author = {Michal Kapustka},
journal= {arXiv preprint arXiv:1005.5558},
year = {2011}
}
Comments
to appear in Journal of Geometry and Physics