21 citations · 126 across the 34 of their papers we have counts for
11 papers · 1 filter
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…
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_{…
Adiabatic Limit and Deformations of Complex Structures
Dan Popovici
Based on our recent adaptation of the adiabatic limit construction to the case of complex structures, we prove the fact that the deformation limiting manifold of any holomorphic fa…
Positivity Cones under Deformations of Complex Structures
Houda Bellitir, Dan Popovici
We investigate connections between the sGG property of compact complex manifolds, defined in earlier work by the second author and L. Ugarte by the requirement that every Gauduchon…
The Albanese Map of sGG Manifolds and Self-Duality of the Iwasawa Manifold
Dan Popovici
We prove that the three-dimensional Iwasawa manifold , viewed as a locally holomorphically trivial fibration by elliptic curves over its two-dimensional Albanese torus, is self-…