79 citations · 317 across the 32 of their papers we have counts for
38 papers
Complex structures on nilpotent Lie algebras with one-dimensional center
Adela Latorre, Luis Ugarte, Raquel Villacampa
We classify the nilpotent Lie algebras of real dimension eight and minimal center that admit a complex structure. Furthermore, for every such nilpotent Lie algebra ,…
Deformations of Higher-Page Analogues of -Manifolds
Dan Popovici, Jonas Stelzig, Luis Ugarte
We extend the notion of essential deformations from the case of the Iwasawa manifold, for which they were introduced recently by the first-named author, to the general case of page…
Higher-Page Bott-Chern and Aeppli Cohomologies and Applications
Dan Popovici, Jonas Stelzig, Luis Ugarte
For every positive integer , we introduce two new cohomologies, that we call -Bott-Chern and -Aeppli, on compact complex manifolds. When , they coincide with the…
The Anomaly flow on nilmanifolds
Mattia Pujia, Luis Ugarte
We study the Anomaly flow on -step nilmanifolds with respect to any Hermitian connection in the Gauduchon line. In the case of flat holomorphic bundle, the general solution to t…
On the stability of compact pseudo-Kähler and neutral Calabi-Yau manifolds
Adela Latorre, Luis Ugarte
We study the stability of compact pseudo-Kähler manifolds, i.e. compact complex manifolds endowed with a symplectic form compatible with the complex structure of . When the…
Higher-Page Hodge Theory of Compact Complex Manifolds
Dan Popovici, Jonas Stelzig, Luis Ugarte
On a compact -manifold , one has the Hodge decomposition: the de Rham cohomology groups split into subspaces of pure-type classes as $H_{dR}^k (X)=\oplus_{…