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arXiv · 1210.1903

On $(2,4)$ complete intersection threefolds that contain an Enriques surface

Lev A. Borisov·Howard J. Nuer
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Abstract

We study nodal complete intersection threefolds of type $(2,4)$ in $\PP^5$ which contain an Enriques surface in its Fano embedding. We completely determine Calabi-Yau birational models of a generic such threefold. These models have Hodge numbers $(h^{11},h^{12})=(2,32)$. We also describe Calabi-Yau varieties with Hodge numbers equal to $(2,26)$, $(23,5)$ and $(31,1)$. The last two pairs of Hodge numbers are, to the best of our knowledge, new.

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BibTeXRIS

Lev A. Borisov, Howard J. Nuer. 2013-08-01. On $(2,4)$ complete intersection threefolds that contain an Enriques surface. https://doi.org/10.1007/s00209-016-1676-z

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