2014/03/03 by Jiezhu Lin, Lin, Jiezhu, Xuanming Ye +1
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG
paper · pdf · doi:10.48550/arxiv.1403.0285
arXiv admin note: text overlap with arXiv:0704.1977
openalex publication_date 2014/03/03 · arxiv created 2014/03/06 · arxiv updated 2014/03/07 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28
Let X be a compact complex manifold, and let π: X → B be a small deformation of X, the dimensions of the Bott-Chern cohomology groups H\rm BCp,q(X(t)) and Aeppli cohomology groups H\rm Ap,q(X(t)) may vary under this deformation. In this paper, we will study the deformation obstructions of a (p,q) class in the central fiber X. In particular, we obtain an explicit formula for the obstructions and apply this formula to the study of small deformations of the Iwasawa manifold.