On the global moduli of Calabi-Yau threefolds
Algebraic Geometry
2023-03-27 v2 High Energy Physics - Theory
Abstract
In this note we initiate a program to obtain global descriptions of Calabi-Yau moduli spaces, to calculate their Picard group, and to identify within that group the Hodge line bundle, and the closely-related Bagger-Witten line bundle. We do this here for several Calabi-Yau's obtained in [DW09] as crepant resolutions of the orbifold quotient of the product of three elliptic curves. In particular we verify in these cases a recent claim of [GHKSST16] by noting that a power of the Hodge line bundle is trivial -- even though in most of these cases the Picard group is infinite.
Keywords
Cite
@article{arxiv.1707.05322,
title = {On the global moduli of Calabi-Yau threefolds},
author = {Ron Donagi and Mark Macerato and Eric Sharpe},
journal= {arXiv preprint arXiv:1707.05322},
year = {2023}
}
Comments
28 pages, LaTeX, 3 figures; v2: thorough revision, error corrected, added author