On the Stability of the Cohomology of Complex Structures

Tapio Klemola
1971 Transactions of the American Mathematical Society  
Let f ^ M be a differentiable family of compact complex manifolds Vi=nrH.t) on M={teRm | |/| < 1}, &-^ V a differentiable family of holomorphic vector bundles Bt -» Vt, t e M. In this paper we study conditions for the cohomology groups Hg'(Bt) to be constant in a neighborhood of 0 e M.
doi:10.2307/1995833 fatcat:ddy4j67cxfgdtme6myc3ck242q