Nodal quintic threefolds and nodal octic surfaces

Borcea, Ciprian

doi:10.1090/S0002-9939-1990-1021895-0

Nodal quintic threefolds and nodal octic surfaces
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Proc. Amer. Math. Soc. 109 (1990), 627-635 Request permission

Abstract:

The relation between the nodes and the defect of nodal quintic threefolds or double solids ramified over nodal octic surfaces has implications on the existence of such varieties with fewer nodes.

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New examples of threefolds with