On Bott-Chern cohomology of compact complex surfaces

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

1 Universita di Parma
2 Istituto Nazionale di Alta Matematica
3 I2M - Institut de Mathématiques de Marseille

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

Domaines: Variables complexes [math.CV]; Mathématiques [math]

Daniele Angela, Georges Dloussky, Adriano Tomassini. On Bott-Chern cohomology of compact complex surfaces. Annali di Matematica Pura ed Applicata, 2016, 195 (1), pp.199-217. ⟨10.1007/s10231-014-0458-7⟩. ⟨hal-01067265v2⟩