论文标题

关于Oeljeklaus-Toma歧管和Hodge理论的Dolbeault协同学的评论

Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory

论文作者

Kasuya, Hisashi

论文摘要

我们给出了Oeljeklaus-Toma歧管的Dolbeault共同体的明确谐波代表,并表明它们在几何形式上是正式的。我们还提供了$(s,1)$ oeljeklaus-toma歧管的Bott-Chern共同学的明确谐波代表,并研究了Angella-Tomassini不平等。

We give explicit harmonic representatives of Dolbeault cohomology of Oeljeklaus-Toma manifolds and show that they are geometrically Dolbeault formal. We also give explicit harmonic representatives of Bott-Chern cohomology of Oeljeklaus-Toma manifolds of type $(s,1)$ and study the Angella-Tomassini inequality.

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