Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Andrist, Rafael B."'
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
Autor:
Andrist, Rafael B.
The boundary of every relatively compact Stein domain in a complex manifold of dimension at least two is connected. No assumptions on the boundary regularity are necessary. The same proofs hold also for $q$-complete domains, and in the context of alm
Externí odkaz:
http://arxiv.org/abs/2407.11897
Autor:
Andrist, Rafael B.
We study the Lie algebra of polynomial vector fields on a smooth Danielewski surface of the form $x y = p(z)$ with $x,y,z \in \mathbb{C}$. We provide explicitly given generators to show that: 1. The Lie algebra of polynomial vector fields is generate
Externí odkaz:
http://arxiv.org/abs/2406.14702
Autor:
Andrist, Rafael B., Huang, Gaofeng
We prove the density property for generalized Calogero--Moser spaces with inner degrees of freedom. This allows us to describe the holomorphic automorphism group of these complex affine manifolds. These generalized Calogero--Moser spaces can also be
Externí odkaz:
http://arxiv.org/abs/2312.15545
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
Autor:
Andrist, Rafael B., Huang, Gaofeng
We introduce the symplectic holomorphic density property and the Hamiltonian holomorphic density property together with the corresponding version of Anders\'en-Lempert theory. We establish these properties for the Calogero-Moser space $\mathcal{C}_n$
Externí odkaz:
http://arxiv.org/abs/2301.09444
Autor:
Andrist, Rafael B.
For the special linear group $\mathrm{SL}_2(\mathbb{C})$ and for the singular quadratic Danielewski surface $x y = z^2$ we give explicitly a finite number of complete polynomial vector fields that generate the Lie algebra of all polynomial vector fie
Externí odkaz:
http://arxiv.org/abs/2208.14434
Autor:
Andrist, Rafael B., Ugolini, Riccardo
We prove the existence of strongly tame sets in affine algebraic homogenenous spaces of linear algebraic Lie groups. We also show that $(\mathbb{C}^n,A)$ for a discrete tame set enjoy the relative density property, and we provide examples of Stein ma
Externí odkaz:
http://arxiv.org/abs/2203.11350
Autor:
Andrist, Rafael B.
We prove the algebraic density property for the Calogero--Moser spaces $\mathcal{C}_{n}$, and give a description of the identity component of the group of holomorphic automorphisms of $\mathcal{C}_{n}$.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2006.11936
We introduce the notion of the algebraic overshear density property which implies both the algebraic notion of flexibility and the holomorphic notion of the density property. We investigate basic consequences of this stronger property, and propose fu
Externí odkaz:
http://arxiv.org/abs/1906.04131