activity
20092026
most citedOn the -Lemma and Bott-Chern cohomology

90 citations · 655 across the 56 of their papers we have counts for

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Showing 2012Show all

8 papers · 1 filter

math.DG2012★ 77 cited

The cohomologies of the Iwasawa manifold and of its small deformations

Daniele Angella

We prove that, for some classes of complex nilmanifolds, the Bott-Chern cohomology is completely determined by the Lie algebra associated to the nilmanifold with the induced comple…

math.DG2012★ 1 cited

A vanishing result for strictly p-convex domains

Daniele Angella, Simone Calamai

In view of A. Andreotti and H. Grauert's vanishing theorem for q-complete domains in C^n, (Théorème de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France 9…

math.DG2012★ 28 cited

Bott-Chern cohomology of solvmanifolds

Daniele Angella, Hisashi Kasuya

We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology. We are especially aimed at studying the Bott-Chern co…

math.DG2012★ 18 cited

On the cohomology of almost-complex manifolds

Daniele Angella, Adriano Tomassini

Following T.-J. Li, W. Zhang [Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds, Comm. Anal. Geom.], we continue to study the…

math.SG2012★ 6 cited

Symplectic manifolds and cohomological decomposition

Daniele Angella, Adriano Tomassini

Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the -representation yields a decomposition of the de Rham coho…

math.DG2012★ 12 cited

Cohomologies of certain orbifolds

Daniele Angella

We study the Bott-Chern cohomology of complex orbifolds obtained as quotient of a compact complex manifold by a finite group of biholomorphisms.

math.DG2012★ 9 cited

Degree of non-Kählerianity for 6-dimensional nilmanifolds

Daniele Angella, Maria Giovanna Franzini, Federico Alberto Rossi

We use Bott-Chern cohomology to measure the non-Kählerianity of 6-dimensional nilmanifolds endowed with the invariant complex structures in M. Ceballos, A. Otal, L. Ugarte, and R.…

math.DG2012★ 6 cited

Cohomology of D-complex manifolds

Daniele Angella, Federico A. Rossi

In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups mad…