Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Sferruzza, Tommaso"'
Autor:
Sferruzza, Tommaso, Tomassini, Adriano
We study the interplay between geometrically-Bott-Chern-formal metrics and SKT metrics. We prove that a $6$-dimensional nilmanifold endowed with a invariant complex structure admits an SKT metric if and only if it is geometrically-Bott-Chern-formal.
Externí odkaz:
http://arxiv.org/abs/2402.02537
Let $(M,J)$ be a $2n$-dimensional almost complex manifold and let $x\in M$. We define the notion of almost complex blow-up of $(M,J)$ at $x$. We prove the existence of almost complex blow-ups at $x$ under suitable assumptions on the almost complex st
Externí odkaz:
http://arxiv.org/abs/2305.09825
Autor:
Sferruzza, Tommaso
The property of admitting an astheno-K\"ahler metric is not stable under the action of small deformations of the complex structure of a compact complex manifold. In this paper, we prove necessary cohomological conditions for the existence of curves o
Externí odkaz:
http://arxiv.org/abs/2305.03657
Autor:
Sferruzza, Tommaso, Tomassini, Adriano
We provide families of compact astheno-K\"ahler nilmanifolds and we study the behaviour of the complex blowup of such manifolds. We prove that the existence of an astheno-K\"ahler metric satisfying an extra differential condition is not preserved by
Externí odkaz:
http://arxiv.org/abs/2206.06904
Autor:
Sferruzza, Tommaso, Tomassini, Adriano
It is proved that the properties of being Dolbeault formal and geometrically-Bott-Chern-formal are not closed under holomorphic deformations of the complex structure. Further, we construct a compact complex manifold which satisfies the $\partial\over
Externí odkaz:
http://arxiv.org/abs/2112.13010
Autor:
Sferruzza, Tommaso, Tardini, Nicoletta
Let $(X,J)$ be a nilmanifold with a left-invariant nilpotent complex structure. We study the existence of $p$-K\"ahler structures (which include K\"ahler and balanced metrics) on $X$. More precisely, we determine an optimal $p$ such that there are no
Externí odkaz:
http://arxiv.org/abs/2112.12418
Autor:
Sferruzza Tommaso
Publikováno v:
Complex Manifolds, Vol 10, Iss 1, Pp 181-200 (2023)
The property of admitting an astheno-Kähler metric is not stable under the action of small deformations of the complex structure of a compact complex manifold. In this study, we prove necessary cohomological conditions for the existence of curves of
Externí odkaz:
https://doaj.org/article/9d71a4030a324a608f1a8a4f2330e8ac
Autor:
Sferruzza, Tommaso
Small deformations of the complex structure do not always preserve special metric properties in the Hermitian non-K\"ahler setting. In this paper, we find necessary conditions for the existence of smooth curves of balanced metrics $\{\omega_t\}_t$ wh
Externí odkaz:
http://arxiv.org/abs/2105.13051
Autor:
Piovani, Riccardo, Sferruzza, Tommaso
Existence of strong K\"ahler with torsion metrics, shortly SKT metrics, on complex manifolds has been shown to be unstable under small deformations. We find necessary conditions under which the property of being SKT is stable for a smooth curve of He
Externí odkaz:
http://arxiv.org/abs/2008.11983
Autor:
Angella, Daniele, Sferruzza, Tommaso
Publikováno v:
Complex Anal. Oper. Theory 2020 (2020), no. 2, 14-27
In this paper, we study how the notions of geometric formality according to Kotschick and other geometric formalities adapted to the Hermitian setting evolve under the action of the Chern-Ricci flow on class VII surfaces, including Hopf and Inoue sur
Externí odkaz:
http://arxiv.org/abs/1906.01424