Iwasawa流形上变形双复形的结构
The structure of deformed double complexes on the Iwasawa manifold
AI总结：
本文利用Stelzig与Qi-Khovanov的双复形结构定理，刻画Iwasawa流形Kuranishi族产生的变形双复形，证明其恰有3种同构类型并给出显式结构，进而计算各纤维的Frölicher谱序列。
摘要：
Iwasawa流形的Kuranishi族自然产生一个（变形）双复形族。利用Stelzig和Qi-Khovanov提出的双复形结构定理，我们证明该族中恰好存在3种同构类型，并显式确定这3种类型的结构。作为应用，我们计算了Iwasawa流形Kuranishi族中每一纤维的Frölicher谱序列。
英文摘要：
The Kuranishi family of the Iwasawa manifold give rise naturally to a family of (deformed) double complexes. By using the structure theorem of double complexes due to Stelzig and Qi-Khovanov, we show there are exactly $3$ isomorphism types in this family and determine explicitly structures of these $3$ types. As an application, we computed the Frölicher spectral sequence for each fiber in the Kuranishi family of the Iwasawa manifold.
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