Zobrazeno 1 - 10
of 64
pro vyhledávání: '"della Sala, Giuseppe"'
Publikováno v:
The Journal of Geometric Analysis, Volume 34, article number 80, (2024)
For $N \geq 4$ we classify the $(N-3)$-degenerate smooth CR maps of the three-dimensional unit sphere into the $(2N-1)$-dimensional unit sphere. Each of these maps has image being contained in a five-dimensional complex-linear space and is of degree
Externí odkaz:
http://arxiv.org/abs/2210.13525
We show that if the Segre varieties of a strictly pseudoconvex hypersurface in $\mathbb{C}^2$ are extremal discs for the Kobayashi metric, then that hypersurface has to be locally spherical. In particular, this gives yet another characterization of t
Externí odkaz:
http://arxiv.org/abs/2009.06049
We study the deformation theory of CR maps in the positive codimensional case. In particular, we study structural properties of the {\em mapping locus} $E$ of (germs of nondegenerate) holomorphic maps $H \colon (M,p) \to M'$ between generic real subm
Externí odkaz:
http://arxiv.org/abs/1906.02586
In this paper we continue our study of local rigidity for maps of CR submanifolds of the complex space. We provide a linear sufficient condition for local rigidity of finitely nondegenerate maps between minimal CR manifolds. Furthermore, we show high
Externí odkaz:
http://arxiv.org/abs/1906.02584
We generalize Lempert's and Poletsky's works on the description of extremal discs for the Kobayashi metric to a higher order setting.
Externí odkaz:
http://arxiv.org/abs/1801.09965
A holomorphic mapping $H$ between two real-analytic CR manifolds $M$ and $M'$ is said to be locally rigid if any other holomorphic map $F\colon M \to M'$ which is close enough to $H$ is obtained by composing $H$ with suitable automorphisms of $M$ and
Externí odkaz:
http://arxiv.org/abs/1710.03963
We prove finite jet determination for (finitely) smooth CR diffeomorphisms of (finitely) smooth Levi degenerate hypersurfaces in $\mathbb{C}^{n+1}$ by constructing generalized stationary discs glued to such hypersurfaces.
Comment: 23 pages
Comment: 23 pages
Externí odkaz:
http://arxiv.org/abs/1705.01527
We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f.We then characterize meromorp
Externí odkaz:
http://arxiv.org/abs/1701.09093
Autor:
Della Sala, Giuseppe
We call a subset $K$ of $\mathbb C$ \emph{biholomorphically homogeneous} if for any two points $p,q\in K$ there exists a neighborhood $U$ of $p$ and a biholomorphism $\psi:U\to \psi(U)\subset \mathbb C$ such that $\psi(p)=q$ and $\psi(K\cap U)= K\cap
Externí odkaz:
http://arxiv.org/abs/1602.02525
We study local rigidity properties of holomorphic embeddings of real hypersurfaces in $\mathbb C^2$ into real hypersurfaces in $\mathbb C^3$ and show that infinitesimal conditions imply actual local rigidity in a number of (important) cases. We use t
Externí odkaz:
http://arxiv.org/abs/1507.08842