Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections
arXiv:1005.5558 · doi:10.1016/j.geomphys.2011.02.022
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.
to appear in Journal of Geometry and Physics