Algebraic approximation and the decomposition theorem for K\'ahler Calabi-Yau varieties

Autor:	Bakker, Benjamin, Guenancia, Henri, Lehn, Christian
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry Mathematics - Complex Variables 32Q25 32J27 (Primary) 32S15 32Q20 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We extend the decomposition theorem for numerically $K$-trivial varieties with log terminal singularities to the K\"ahler setting. Along the way we prove that all such varieties admit a strong locally trivial algebraic approximation, thus completing the numerically $K$-trivial case of a conjecture of Campana and Peternell. Comment: v2: Minor inaccuracies corrected, main results unchanged. v3: Exposition improved, final version, to appear in Invent. Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.00441 Zobrazit plný text záznamu View this record from Arxiv