Journal ArticleDOI
Examples of compact holomorphic symplectic manifolds which are not kählerian iii
Reads0
Chats0
About:
This article is published in International Journal of Mathematics.The article was published on 1995-10-01. It has received 47 citations till now. The article focuses on the topics: Symplectomorphism & Symplectic manifold.read more
Citations
More filters
Journal ArticleDOI
On the Betti Numbers of Irreducible Compact Hyperkähler Manifolds of Complex Dimension Four
TL;DR: In this paper, it was shown that the Riemann-Roch formula is not enough to give a picture of both the Hodge diamond and the existence of holomorphic sections of line bundles.
Posted Content
Non-Kähler Calabi-Yau manifolds
TL;DR: In this article, the authors studied the class of compact complex manifolds whose first Chern class vanishes in the Bott-Chern cohomology, which includes all manifolds with torsion canonical bundle, but it is strictly larger.
Journal ArticleDOI
An 8-dimensional nonformal, simply connected, symplectic manifold
Marisa Fernández,Vicente Muñoz +1 more
TL;DR: In this article, the existence of nonformal, simply connected, compact symplectic manifolds of dimension 8 was shown to be true, and the question posed by Babenko and Taimanov was answered in the affirmative.
OtherDOI
Non-K\"ahler Calabi-Yau manifolds
TL;DR: In this article, the authors studied the class of compact complex manifolds whose first Chern class vanishes in the Bott-Chern cohomology, which includes all manifolds with torsion canonical bundle, but it is strictly larger.
References
More filters
Journal ArticleDOI
On the Cohomology of Compact Homogeneous Spaces of Nilpotent Lie Groups
TL;DR: In this paper, it was shown that the theory of invariant integrals does not hold for compact homogeneous spaces of non-compact Lie groups and that the cohomology of a homogeneous space of a compact Lie group can be obtained from the complex of invariants on it.
Proceedings ArticleDOI