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pro vyhledávání: '"Schott, Josua"'
We prove a parametric jet interpolation theorem for symplectic holomorphic automorphisms of $\mathbb{C}^{2n}$ with parameters in a Stein space. Moreover, we provide an example of an unavoidable set for symplectic holomorphic maps.
Externí odkaz:
http://arxiv.org/abs/2407.17581
We generalize a criterion for the density property of Stein manifolds. As an application, we give a new, simple proof of the fact that the Danielewski surfaces have the algebraic density property. Furthermore, we have found new examples of Stein mani
Externí odkaz:
http://arxiv.org/abs/2308.07015
In this article we deduce some algebraic properties for the group $\mathrm{Sp}_{2n} (\mathcal{O}(X))$ of holomorphic symplectic matrices on a Stein space $X$: holomorphic factorization, exponential factorization, and Kazhdan's property (T). In holomo
Externí odkaz:
http://arxiv.org/abs/2207.12057
Autor:
Schott, Josua
It is shown that any symplectic $2n\times 2n$-matrix, whose entries are complex holomorphic functions on a reduced Stein space, can be decomposed into a finite product of elementary symplectic matrices if and only if it is null-homotopic. Moreover, i
Externí odkaz:
http://arxiv.org/abs/2207.05389
Publikováno v:
In Bulletin des sciences mathématiques February 2024 190
Autor:
Schott, Josua
It is shown that a symplectic matrix, whose entries are holomorphic functions on a finite dimensional reduced Stein space, can be decomposed into a finite product of elementary symplectic matrices if and only if it is null-homotopic. The proof is bas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6944300883c25cb6c204ff0f2310a533