On Bott-Chern cohomology of compact complex surfaces

Daniele Angela (1) , Georges Dloussky (2) , Adriano Tomassini (3)

1 Universita di Parma
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités
3 Universita di Parma

We study Bott-Chern cohomology on compact complex non-Kähler surfaces. In particular we compute such a cohomology for compact complex surfaces in class VII and for compact complex surfaces diffeomorphic to solvmanifolds.

Mots clés: Bott-Chern cohomology; class VII; solvmanifolds; "Bott-Chern cohomology"; "class VII"; "solvmanifolds"

Domaines: Variables complexes [math.CV]

Daniele Angela, Georges Dloussky, Adriano Tomassini. On Bott-Chern cohomology of compact complex surfaces. 2014. ⟨hal-01067265v1⟩