论文标题
在双向锥和紧凑型kähler歧管的代数上
On the dual positive cones and the algebraicity of a compact Kähler manifold
论文作者
论文摘要
我们调查了紧凑型卡勒流形的代数，承认bidimension $（1,1）$的积极理性霍奇类。我们证明，如果紧凑的Kähler歧管$ x $的双重kähler锥包含一个理性的班级，则其Albanese品种将投影。结果，我们回答了Ricci-Flat紧凑型Kähler歧管的Oguiso-宠物问题。我们还研究了三倍的相关代数问题。
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.
