K3-fibered Calabi-Yau threefolds I, the twist map
Algebraic Geometry
2023-09-12 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A construction of Calabi-Yaus as quotients of products of lower-dimensional spaces in the context of weighted hypersurfaces is discussed, including desingularisation. The construction leads to Calabi-Yaus which have a fiber structure, in particular one case has K3 surfaces as fibers. These Calabi-Yaus are of some interest in connection with Type II -heterotic string dualities in dimension 4. A section at the end of the paper summarises this for the non-expert mathematician.
Keywords
Cite
@article{arxiv.math/9904059,
title = {K3-fibered Calabi-Yau threefolds I, the twist map},
author = {Bruce Hunt and Rolf Schimmrigk},
journal= {arXiv preprint arXiv:math/9904059},
year = {2023}
}
Comments
31 pages LaTeX, 11pt, 2 figures. To appear in International Journal of Mathematics. On the web at http://personal-homepages.mis.mpg.de/bhunt/preprints.html , #5