AI 中文总结
研究引入混合霍奇形式性概念，通过发展障碍理论，来理解复代数簇上同调的混合霍奇结构，进而从混合霍奇意义上剖析某些紧致凯勒流形的非形式性。
AI 中文摘要
我们引入混合霍奇形式性的概念，它细化了经典形式性并考虑复代数簇上同调中存在的混合霍奇结构。我们为混合霍奇形式性发展了一种障碍理论，证明了混合霍奇结构扩张的非平凡性。这使我们能从混合霍奇意义上理解某些紧致凯勒流形的非形式性。
英文摘要
We introduce the notion of mixed Hodge formality, which refines classical formality and takes into account the mixed Hodge structures present on the cohomology of complex algebraic varieties. We develop an obstruction theory for mixed Hodge formality, witnessing the non-triviality of extensions of mixed Hodge structures. This allows us to understand the non-formality of certain compact Kähler manifolds in the mixed Hodge sense.
