Zobrazeno 1 - 10
of 142
pro vyhledávání: '"Tomassini, Giuseppe"'
The aim of the paper is to study the level sets of the solutions of Dirichlet problems for the Levi operator on strongly pseudoconvex domains $\Omega$ in $\mathbb C^2$. Such solutions are generically non smooth, and the geometric properties of their
Externí odkaz:
http://arxiv.org/abs/2409.05776
We prove some extension theorems for quaternionic holomorphic functions in the sense of Fueter. Starting from the existence theorem for the nonhomogeneous Cauchy-Riemann-Fueter Problem, we prove that an $\mathbb{H}$-valued function $f$ on a smooth hy
Externí odkaz:
http://arxiv.org/abs/1909.12751
Autor:
Mongodi, Samuele, Tomassini, Giuseppe
In this paper, we want to study the link between the presence of compact objects with some analytic structure and the global geometry of a weakly complete surface. We begin with a brief survey of some now classic results on the local geometry around
Externí odkaz:
http://arxiv.org/abs/1904.04059
Autor:
Mongodi, Samuele, Tomassini, Giuseppe
The name of Oka principle, or Oka-Grauert principle, is traditionally used to refer to the holomorphic incarnation of the homotopy principle: on a Stein space, every problem that can be solved in the continuous category, can be solved in the holomorp
Externí odkaz:
http://arxiv.org/abs/1805.00583
In a previous work, we classified weakly complete surfaces which admit a real analytic plurisubharmonic exhaustion function; we showed that, if they are not proper over a Stein space, then they admit a pluriharmonic function, with compact Levi-flat l
Externí odkaz:
http://arxiv.org/abs/1611.05637
A weakly complete space is a complex space admitting a (smooth) plurisubharmonic exhaustion function. In this paper, we classify those weakly complete complex surfaces for which such exhaustion function can be chosen real analytic: they can be modifi
Externí odkaz:
http://arxiv.org/abs/1504.07215
We show that every strictly pseudoconvex domain $\Omega$ with smooth boundary in a complex manifold $\mathcal{M}$ admits a global defining function, i.e., a smooth plurisubharmonic function $\varphi \colon U \to \mathbb R$ defined on an open neighbou
Externí odkaz:
http://arxiv.org/abs/1405.2250
Autor:
Mongodi, Samuele, Tomassini, Giuseppe
A semiholomorphic foliations of type (n, d) is a differentiable real manifold X of dimension 2n + d, foliated by complex leaves of complex dimension n. In the present work, we introduce an appropriate notion of pseudoconvexity (and consequently, q-co
Externí odkaz:
http://arxiv.org/abs/1404.6826
Autor:
Borghesi, Simone, Tomassini, Giuseppe
The classical Brody's theorem asserts the equivalence between two notions of hyperbolicity for compact complex spaces, one named after Kobayashi and one expressed in terms of lack of non constant holomorphic entire functions (compactness is only used
Externí odkaz:
http://arxiv.org/abs/1201.2535
Autor:
Tomassini, Giuseppe
Let $K$ be a compact subset of $\mathbb C^n$, $K^\ast K$ a closed subset. In this paper we are dealing with evolution $E_t(K,K^\ast)$ of $K$ with fixed part $K^\ast$ by Levi form. This amounts to solve a parabolic problem for an elliptic operator. We
Externí odkaz:
http://arxiv.org/abs/1201.2287