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arXiv · 2103.13609

On the boundedness of canonical models

Junpeng Jiao
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Abstract

It is conjectured that the canonical models of varieties (not of general type) are bounded when the Iitaka volume is fixed. We confirm this conjecture when the general fibers of the corresponding Iitaka fibration are in a fixed bounded family of polarized Calabi-Yau pairs.

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Junpeng Jiao. 2021-03-25. On the boundedness of canonical models. https://doi.org/10.2140/ant.2025.19.2119

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