Boundedness of elliptic Calabi-Yau threefolds
Algebraic Geometry
2025-08-04 v2 High Energy Physics - Theory
Abstract
We show that elliptic Calabi--Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the rate of growth of pluricanonical forms and the degree of a multisection of the Iitaka fibration. Both of these hypotheses are necessary to prove the boundedness of such a family.
Keywords
Cite
@article{arxiv.2112.01352,
title = {Boundedness of elliptic Calabi-Yau threefolds},
author = {Stefano Filipazzi and Christopher D. Hacon and Roberto Svaldi},
journal= {arXiv preprint arXiv:2112.01352},
year = {2025}
}
Comments
Final version, to appear in J. Eur. Math. Soc. (JEMS)