Hsueh-Yung Lin - On the dual positive cones and the algebraicity of a compact Kähler manifold

epiga:10771 - Épijournal de Géométrie Algébrique, February 2, 2024, Special volume in honour of Claire Voisin - https://doi.org/10.46298/epiga.2024.10771
On the dual positive cones and the algebraicity of a compact Kähler manifoldArticle

Authors: Hsueh-Yung Lin

    We investigate the algebraicity of compact Kähler manifolds admitting a positive rational Hodge class of bidimension $(1,1)$. We prove that if the dual Kähler cone of a compact Kähler manifold $X$ contains a rational class as an interior point, then its Albanese variety is projective. As a consequence, we answer the Oguiso--Peternell problem for Ricci-flat compact Kähler manifolds. We also study related algebraicity problems for threefolds.


    Volume: Special volume in honour of Claire Voisin
    Published on: February 2, 2024
    Accepted on: October 17, 2023
    Submitted on: January 5, 2023
    Keywords: Mathematics - Algebraic Geometry,Mathematics - Complex Variables

    Consultation statistics

    This page has been seen 44 times.
    This article's PDF has been downloaded 23 times.