Boundedness results for families of non-canonically polarized projective varieties

Autor:	Ascher, Kenneth, Taji, Behrouz
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We prove that, over a smooth quasi-projective curve, the set of non-isotrivial, smooth and projective families of polarized varieties with a fixed Hilbert polynomial and semi-ample canonical bundle is bounded. This extends the boundedness results of Arakelov, Parshin, and Kov\'acs--Lieblich beyond the canonically polarized case. Comment: 27 Pages. Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.15153 Zobrazit plný text záznamu View this record from Arxiv