21 citations · 126 across the 34 of their papers we have counts for
9 papers · 1 filter
Some Properties of Balanced Hyperbolic Compact Complex Manifolds
Samir Marouani, Dan Popovici
We prove several vanishing theorems for the cohomology of balanced hyperbolic manifolds that we introduced in our previous work and for the harmonic spaces on the universal c…
Balanced Hyperbolic and Divisorially Hyperbolic Compact Complex Manifolds
Samir Marouani, Dan Popovici
We introduce two notions of hyperbolicity for not necessarily Kähler -dimensional compact complex manifolds . The first, called {\it balanced hyperbolicity}, generalises Grom…
Adiabatic Limit and the Frölicher Spectral Sequence
Dan Popovici
Motivated by our conjecture of an earlier work predicting the degeneration at the second page of the Frölicher spectral sequence of any compact complex manifold supporting an SKT m…
Volume and Self-Intersection of Differences of Two Nef Classes
Dan Popovici
Let and be nef cohomology classes of bidegree on a compact -dimensional Kähler manifold such that the difference of intersection numbers $\{α\}^n -…
Stability of Strongly Gauduchon Manifolds under Modifications
Dan Popovici
In our previous works on deformation limits of projective and Moishezon manifolds, we introduced and made crucial use of the notion of strongly Gauduchon metrics as a reinforcement…
Effective Local Finite Generation of Multiplier Ideal Sheaves
Dan Popovici
Let be a psh function on a bounded pseudoconvex open set $Ω\subset \C^n$, and let be the associated multiplier ideal sheaf. Motivated by resolution of singulariti…