论文标题

形式上的大概念和aeppli-bott-Chern-Massey产品

Bigraded notions of formality and Aeppli-Bott-Chern-Massey products

论文作者

Milivojevic, Aleksandar, Stelzig, Jonas

论文摘要

我们在复杂的歧管上介绍和研究了形式代数的大型形式的概念,以及它们与较高的Aeppli-Bott-Chern-Chern-Massey产品的关系,这些产品扩展了Angella-Tomassini研究的三重产品的情况。我们表明,这些aeppli-bott-chern-massey产品在复杂的歧管上沿着复杂的子手机沿着复杂的子手机的爆炸式向上拉回去,只要它们的程度小于Submanifold的真实编码。

We introduce and study notions of bigraded formality for the algebra of forms on a complex manifold, along with their relation to higher Aeppli-Bott-Chern-Massey products which extend the case of triple products studied by Angella-Tomassini. We show that these Aeppli-Bott-Chern-Massey products on complex manifolds pull back non-trivially to the blow-up along a complex submanifold, as long their degree is less than the real codimension of the submanifold.

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