Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections

Details Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections

2010-05-30

arxiv.org/abs/1005.5558v4

J.Geom.Phys.61:1309-1318,2011

Mathematics

Algebraic Geometry

to appear in Journal of Geometry and Physics

Scientific paper

10.1016/j.geomphys.2011.02.022

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.

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