On structures and discrepancies of klt Calabi--Yau pairs
Algebraic Geometry
2024-10-03 v2
Abstract
We study the structures of klt Calabi--Yau pairs. We show that the discrepancies of log centers of all klt Calabi--Yau varieties with fixed dimension are in a finite set. As a corollary, we show that the index of 4-dimensional non-canonical Calabi--Yau variety is bounded.
Keywords
Cite
@article{arxiv.2405.13321,
title = {On structures and discrepancies of klt Calabi--Yau pairs},
author = {Junpeng Jiao},
journal= {arXiv preprint arXiv:2405.13321},
year = {2024}
}
Comments
28 pages. Remove Theorem 1.3 and 1.8 in the first version