On Calabi-Yau generalized complete intersections from Hirzebruch varieties and novel K3-fibrations
High Energy Physics - Theory
2020-01-07 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1606.07420,
title = {On Calabi-Yau generalized complete intersections from Hirzebruch varieties and novel K3-fibrations},
author = {Per Berglund and Tristan Hubsch},
journal= {arXiv preprint arXiv:1606.07420},
year = {2020}
}
Comments
32 pages, 2 figures