Inequalities $\textit{á la}$ Frölicher and cohomological decompositions
Inequalities $\textit{á la}$ Frölicher and cohomological decompositions
We study Bott-Chern and Aeppli cohomologies of a vector space endowed with two anti-commuting endomorphisms whose square is zero. In particular, we prove an inequality à la Frölicher relating the dimensions of the Bott-Chern and Aeppli cohomologies to the dimensions of the Dolbeault cohomologies. We prove that the equality in …