3 citations · 7 across the 10 of their papers we have counts for
12 papers
Lower bounds for the Smith-Thom deficiency of Hilbert squares
Viatcheslav Kharlamov, Rareş Răsdeaconu
We establish lower bounds for the Smith--Thom deficiency of the Hilbert square of a maximal nonsingular real projective variety. These bounds recover the known surface case and pro…
Remarks on astheno-Kahler manifolds, Bott-Chern and Aeppli cohomology groups
Ionut Chiose, Rares Rasdeaconu
We provide a new cohomological obstruction to the existence of astheno-Kahler metrics, and study relevant examples.
On the classification of ALE Kähler manifolds
Hans-Joachim Hein, Rares Rasdeaconu, Ioana Suvaina
The underlying complex structure of an ALE Kähler manifold is exhibited as a resolution of a deformation of an isolated quotient singularity. As a consequence, there exist only fin…
Balanced Manifolds and SKT Metrics
Ionut Chiose, Rares Rasdeaconu, Ioana Suvaina
The equality between the balanced and the Gauduchon cones is discussed in several situations. In particular, it is shown that equality does not hold on many twistor spaces, and it…
Qualitative aspects of counting real rational curves on real K3 surfaces
Viatcheslav Kharlamov, Rares Rasdeaconu
We study qualitative aspects of the Welschinger-like -valued count of real rational curves on primitively polarized real surfaces. In particular, we prove that with…
Balanced metrics on uniruled manifolds
Ionut Chiose, Rares Rasdeaconu, Ioana Suvaina
We show that an dimensional Moishezon manifold is uniruled if and only if it supports a balanced metric of positive total scalar Chern curvature. A similar statement…