On Calabi-Yau generalized complete intersections from Hirzebruch varieties and novel K3-fibrations

Abstract

We consider the construction of Calabi-Yau varieties recently generalized to where the defining equations may have negative degrees over some projective space factors in the embedding space. Within such "generalized complete intersection" Calabi-Yau ("gCICY") three-folds, we find several sequences of distinct manifolds. These include both novel elliptic and K3-fibrations and involve Hirzebruch surfaces and their higher dimensional analogues. En route, we generalize the standard techniques of cohomology computation to these generalized complete intersection Calabi-Yau varieties.

32 pages, 2 figures

References in corpus (1)

• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List

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