论文标题
LCK空间的爆破和修改
Blow-ups and modifications of lcK spaces
论文作者
论文摘要
在本文中，我们证明，沿子空间$ z $沿本地不可约的lck空间$ x $ blow爆炸，该$ z $在且仅当$ x $被引起gck时验证某些条件是lck，从而将Ornea-verbitsky-vuletescu定理概述为奇异的局部不可估的空间。我们还表明，即使对LCK空间的修改并不总是符合LCK类型，它们仍始终接受准LCK指标。
In this article, we prove that the blow-up of a locally irreducible lcK space $X$ along a subspace $Z$ which verifies certain conditions is lcK if and only if $X$ is induced gcK, generalizing a theorem of Ornea-Verbitsky-Vuletescu to singular locally irreducible spaces. We also show that even if modifications of lcK spaces are not always of lcK type, they always admit quasi-lcK metrics.
