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Start Over Descriptor "*PROJECTIVE spaces" Topic geometric transitions Topic geometry Journal journal of geometry & physics
1 results on '"*PROJECTIVE spaces"'

1. Geometric transitions between Calabi–Yau threefolds related to Kustin–Miller unprojections

Author

Kapustka, Michał

Subjects
*CALABI-Yau manifolds, *ALGEBRAIC geometry, *PROJECTIVE spaces, *PICARD number, *PFAFFIAN systems, *GEOMETRY
Abstract

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 result 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, which are described by Pfaffian equations in weighted projective spaces. [Copyright &y& Elsevier]

Published
2011
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