Zobrazeno 1 - 10
of 171
pro vyhledávání: '"Trapani, Stefano"'
We study the Mabuchi functional associated to a big cohomology class. We define an invariant associated to transcendental Fujita approximations, whose vanishing is related to the Yau-Tian Donaldson conjecture. Assuming vanishing (finiteness) of this
Externí odkaz:
http://arxiv.org/abs/2410.08984
Motivated by the work of Bryant on constant mean curvature (CMC) $1$-immersions of surfaces into the hyperbolic space H^3 and after the results of Tarantello (2023), we pursue a possible parametrization for the moduli space of (CMC) 1-immersions of a
Externí odkaz:
http://arxiv.org/abs/2406.07518
We show that a compact K\"ahler manifold bimeromorphic to a weakly K\"ahler hyperbolic manifold is weakly K\"ahler hyperbolic, providing an answer to a problem raised by J. Koll\'ar in his 1995 book "Shafarevic maps and automorphic forms"
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2406.01734
In this note we prove that a finite family $\{X_1,\dots,X_d\}$ of real r.v.'s that is exchangeable and such that $(X_1,\dots,X_d)$ is invariant with respect to a subgroup of $SO(d)$ acting irreducibly, is actually invariant with respect to the action
Externí odkaz:
http://arxiv.org/abs/2310.19611
Publikováno v:
SIGMA 20 (2024), 039, 19 pages
In this note, we generalize the notion of entropy for potentials in a relative full Monge-Amp\`ere mass $\mathcal{E}(X, \theta, \phi)$, for a model potential $\phi$. We then investigate stability properties of this condition with respect to blow-ups
Externí odkaz:
http://arxiv.org/abs/2310.10152
Autor:
Schumacher, Georg, Trapani, Stefano
Publikováno v:
manuscripta math. 174, 807-813 (2024)
We give a precise estimate for the average scalar curvature of the Weil-Petersson metric on the moduli space $\overline{\cal M}_g$ as $g\to\infty$ up to the order $1/g^2$.
Externí odkaz:
http://arxiv.org/abs/2212.12387
We introduce the notion of weakly K\"ahler hyperbolic manifold which generalizes that of K\"ahler hyperbolic manifold given in the early '90s by M. Gromov, and establish its basic features. We then investigate its spectral properties and show a spect
Externí odkaz:
http://arxiv.org/abs/2204.04096
Autor:
Di Nezza, Eleonora, Trapani, Stefano
Let $X$ be a compact complex manifold of complex dimension $n$ and $\alpha$ be a smooth closed real form on $X$ such that its cohomology class $\{ \alpha \}\in H^{1,1}(X, \mathbb{R})$ is big. In this paper we prove that, given a bounded function $f$
Externí odkaz:
http://arxiv.org/abs/2110.14314
In this paper we introduce, via a Phragmen-Lindel\"of type theorem, a maximal plurisubharmonic function in a strongly pseudoconvex domain. We call such a function the {\sl pluricomplex Poisson kernel} because it shares many properties with the classi
Externí odkaz:
http://arxiv.org/abs/2007.06270
Autor:
Di Nezza, Eleonora, Trapani, Stefano
Let $(X, \omega)$ be a compact K\"ahler manifold of complex dimension n and $\theta$ be a smooth closed real $(1,1)$-form on $X$ such that its cohomology class $\{ \theta \}\in H^{1,1}(X, \mathbb{R})$ is pseudoeffective. Let $\varphi$ be a $\theta$-p
Externí odkaz:
http://arxiv.org/abs/1912.12720