Add to ORKGWe use Bott-Chern cohomology to measure the non-K\"ahlerianity of 6-dimensional nilmanifolds endowed with the left-invariant complex structures in M. Ceballos, A. Otal, L. Ugarte, and R. Villacampa's classification, [Classification of complex structures on 6-dimensional nilpotent Lie algebras, arXiv:1111.5873v4 [math.DG]]. We investigate the existence of pluriclosed metric in connection with such a classification
We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga , with a ¿ [0, 8), of rea...
We provide families of compact astheno-K\"ahler nilmanifolds and we study the behaviour of the compl...
AbstractIn the present paper we study six dimensional solvable Lie algebras with special emphasis on...
We use Bott-Chern cohomology to measure the non-K\'ahlerianity of 6-dimensional nilmanifolds endowed...
We prove that, for some classes of complex nilmanifolds, the Bott–Chern cohomology is completely det...
We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an appl...
We study conditions under which sub-complexes of a double complex of vector spaces allow to compute...
We study pureness and fullness of invariant complex structures on nilmanifolds. We prove that in dim...
In these notes, we provide a summary of recent results on the cohomological properties of compact co...
We introduce a “qualitative property” for Bott-Chern cohomology of complex non-Kähler manifolds, whi...
We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T. Yau for solvmanifolds endowe...
In this note, we analyze the question of when will a complex nilmanifold have K\"ahler-like Stroming...
International audienceWe study Bott-Chern cohomology on compact complex non-Kähler surfaces. In part...
summary:We classify the $6$-dimensional compact nilmanifolds that admit abelian complex structures, ...
We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of...
We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga , with a ¿ [0, 8), of rea...
We provide families of compact astheno-K\"ahler nilmanifolds and we study the behaviour of the compl...
AbstractIn the present paper we study six dimensional solvable Lie algebras with special emphasis on...
We use Bott-Chern cohomology to measure the non-K\'ahlerianity of 6-dimensional nilmanifolds endowed...
We prove that, for some classes of complex nilmanifolds, the Bott–Chern cohomology is completely det...
We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an appl...
We study conditions under which sub-complexes of a double complex of vector spaces allow to compute...
We study pureness and fullness of invariant complex structures on nilmanifolds. We prove that in dim...
In these notes, we provide a summary of recent results on the cohomological properties of compact co...
We introduce a “qualitative property” for Bott-Chern cohomology of complex non-Kähler manifolds, whi...
We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T. Yau for solvmanifolds endowe...
In this note, we analyze the question of when will a complex nilmanifold have K\"ahler-like Stroming...
International audienceWe study Bott-Chern cohomology on compact complex non-Kähler surfaces. In part...
summary:We classify the $6$-dimensional compact nilmanifolds that admit abelian complex structures, ...
We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of...
We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga , with a ¿ [0, 8), of rea...
We provide families of compact astheno-K\"ahler nilmanifolds and we study the behaviour of the compl...
AbstractIn the present paper we study six dimensional solvable Lie algebras with special emphasis on...