论文标题
BCOV不变和爆炸
BCOV invariant and blow-up
论文作者
论文摘要
Bershadsky，Cecotti，Ooguri和Vafa为Calabi-Yau歧管建造了一个真正的价值不变，这称为BCOV不变。在本文中，我们将BCOV不变性扩展到此类对$（x，d）$，其中$ x $是紧凑的Kähler歧管，$ d $是X上X上的多元分裂，并具有简单的正常交叉支撑。我们还研究了在爆炸中扩展的BCOV不变的行为。本文的结果导致与FU进行联合工作，证明了Birational Calabi-yau歧管具有相同的BCOV不变性。
Bershadsky, Cecotti, Ooguri and Vafa constructed a real valued invariant for Calabi-Yau manifolds, which is called the BCOV invariant. In this paper, we extend the BCOV invariant to such pairs $(X,D)$, where $X$ is a compact Kähler manifold and $D$ is a pluricanonical divisor on X with simple normal crossing support. We also study the behavior of the extended BCOV invariant under blow-up. The results in this paper lead to a joint work with Fu proving that birational Calabi-Yau manifolds have the same BCOV invariant.
