Calabi-Yau threefolds of type K (I): Classification
Algebraic Geometry
2016-02-05 v3 High Energy Physics - Theory
Abstract
Any Calabi-Yau threefold X with infinite fundamental group admits an \'etale Galois covering either by an abelian threefold or by the product of a K3 surface and an elliptic curve. We call X of type A in the former case and of type K in the latter case. In this paper, we provide the full classification of Calabi-Yau threefolds of type K, based on Oguiso and Sakurai's work. Together with a refinement of Oguiso and Sakurai's result on Calabi-Yau threefolds of type A, we finally complete the classification of Calabi-Yau threefolds with infinite fundamental group.
Keywords
Cite
@article{arxiv.1409.7601,
title = {Calabi-Yau threefolds of type K (I): Classification},
author = {Kenji Hashimoto and Atsushi Kanazawa},
journal= {arXiv preprint arXiv:1409.7601},
year = {2016}
}
Comments
29 pages, comments welcome