论文标题
带支持的扭曲共同体的爆破公式
Blow-up formulae for twisted cohomologies with supports
论文作者
论文摘要
我们研究了扭曲的共同体，并具有副统计的支持家族。建立了Kunneth定理，Leray-Hirsch定理和自我交流公式。基于这些结果，我们最终给出了关于任意复杂歧管的扭曲的Dolbeault共同体的复杂爆炸公式的明确表达，以及有关在任意方向的平滑歧管上扭曲的DE RHAM共同体的广义爆破公式的表达式。这些表达式是由形式和电流空间（简单或双重）复合物的形态引起的，而不仅仅是共同体之间的地图，这有助于我们获得扭曲的Bott-Chern，Aep-Chern，Aep-Chern，Aep-Chern，Aep-Chern，AEPPLI，AEPPLI，AEPPLI，AEPPLI，AEP-CHERN的相应结果，以及截断的扭曲扭曲的Holomorphic de Rham复合物的截断。
We study twisted cohomologies with paracompactifying families of supports. The Kunneth theorems, Leray-Hirsch theorems and self-intersection formulae are established. Based on these results, we eventually give explicit expressions of complex blow-up formulae for twisted Dolbeault cohomology on arbitrary complex manifolds and the ones of generalized blow-ups formulae for twisted de Rham cohomology on arbitrary oriented smooth manifolds. These expressions are induced by the morphisms of (simple or double) complexes of spaces of forms and currents rather than just the maps between cohomologies, which help us to obtain the corresponding results for twisted Bott-Chern, Aeppli cohomologies and hypercohomologies of truncated twisted holomorphic de Rham complexes.
