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pro vyhledávání: '"Di Salvo, Giovanni Domenico"'
We solve the problem of simultaneously embedding properly holomorphically into $\Bbb C^2$ a whole family of $n$-connected domains $\Omega_r\subset\Bbb P^1$ such that none of the components of $\Bbb P^1\setminus\Omega_r$ reduces to a point, by constru
Externí odkaz:
http://arxiv.org/abs/2211.05397
Autor:
Di Salvo, Giovanni Domenico
We display four approximation theorems for manifold-valued mappings. The first one approximates holomorphic embeddings on pseudoconvex domains in $\Bbb C^n$ with holomorphic embeddings with dense images. The second theorem approximates holomorphic ma
Externí odkaz:
http://arxiv.org/abs/2211.05395
Autor:
Di Salvo, Giovanni Domenico
We clarify the details of a cryptical paper by Orevkov in which a construction of a proper holomorphic embedding $\gamma\colon\Bbb P^1\setminus{C}\hookrightarrow\Bbb C^2$ is performed; in particular, it is proved that such a construction can be done
Externí odkaz:
http://arxiv.org/abs/2211.05046
We present a construction of a proper holomorphic embedding $f\colon \Bbb P^1\setminus C\hookrightarrow \Bbb C^2$, where C is a Cantor set obtained by removing smaller and smaller vertical and horizontal strips from a square of side 2, allowing to re
Externí odkaz:
http://arxiv.org/abs/2112.07514
Akademický článek
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Autor:
Di Salvo, Giovanni Domenico
Publikováno v:
Di Salvo, Giovanni Domenico . Approximation and accumulation results of holomorphic mappings with dense image. Mathematica Scandinavica. 2023, 129(2), 273-283
Mathematica Scandinavica
Mathematica Scandinavica
Externí odkaz:
http://hdl.handle.net/10852/109941