Projections of del Pezzo surfaces and Calabi--Yau threefolds

Details Projections of del Pezzo surfaces and Calabi--Yau threefolds Projections of del Pezzo surfaces and Calabi--Yau threefolds

2010-10-19

arxiv.org/abs/1010.3895v2

Mathematics

Algebraic Geometry

A table of known Calabi--Yau threefolds with Picard number 1 is added

Scientific paper

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.

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