On the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}…
By Daniele Angella, Adriano Tomassini. Inventiones Mathematicae, 2012
125 citations recorded by the source corpus.
On a compact complex manifold X, we prove a Frölicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if X satisfies the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\partial\overline{\partial}$\end{document}-Lemma.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/58943b7342c2eef383805f17ed885369268ec839
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In Applied Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Non-K\"ahler Calabi-Yau manifolds (2014, background): “As a remark, a cohomological characterization of when the ∂∂-Lemma holds for all (p, q)-forms was recently given in [5].”
- Six-Dimensional Solvmanifolds with Holomorphically Trivial Canonical Bundle (2014, background): “Concerning the ∂∂̄-lemma property, it is known that it is an open property (see for instance [4] for a proof of this fact), and recently Angella and Kasuya have proved in [3] that the ∂∂̄-lemma is not a closed property under holomorphic deformations.”