G. di Salvo

collaborators

4 papers

math.CV2022

Families of Proper Holomorphic Embeddings and Carleman-type Theorems with parameters

Giovanni Domenico Di Salvo, Tyson Ritter, Erlend F. Wold

We solve the problem of simultaneously embedding properly holomorphically into $C^{2}$ a whole family of $n$ -connected domains $Ω_{r} \subset P^{1}$ such that none of the compone…

math.CV2022

Approximation and accumulation results of holomorphic mappings with dense image

Giovanni Domenico Di Salvo

We display four approximation theorems for manifold-valued mappings. The first one approximates holomorphic embeddings on pseudoconvex domains in $C^{n}$ with holomorphic embedd…

math.CV2022

Extended explanation of Orevkov's paper on proper holomorphic embeddings of complements of Cantor sets in $C^{2}$ and a discussion of their measure

Giovanni Domenico Di Salvo

We clarify the details of a cryptical paper by Orevkov in which a construction of a proper holomorphic embedding $γ : P^{1} ∖ C ↪ C^{2}$ is performed;…

math.CV2021

Proper Holomorphic Embeddings of complements of large Cantor sets in $C^{2}$

Erlend Fornæss Wold, Giovanni Domenico Di Salvo

We present a construction of a proper holomorphic embedding $f : P^{1} ∖ C ↪ C^{2}$ , where C is a Cantor set obtained by removing smaller and smaller…

Families of Proper Holomorphic Embeddings and Carleman-type Theorems with parameters

Approximation and accumulation results of holomorphic mappings with dense image

Extended explanation of Orevkov's paper on proper holomorphic embeddings of complements of Cantor sets in C2 and a discussion of their measure

Proper Holomorphic Embeddings of complements of large Cantor sets in C2

Extended explanation of Orevkov's paper on proper holomorphic embeddings of complements of Cantor sets in $C^{2}$ and a discussion of their measure

Proper Holomorphic Embeddings of complements of large Cantor sets in $C^{2}$