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Št. zadetkov: 3
ǂThe ǂsymplectic density property for Calogero-Moser spaces
Rafael Benedikt Andrist, Gaofeng Huang
Izvirni znanstveni članek
Oznake: symplectic density property;symplectic holomorphic density property;Hamiltonian density property;Hamiltonian holomorphic density property;Andersen-Lempert theory;Calogero-Moser spaces;
We introduce the symplectic density property and the Hamiltonian density property together with the corresponding versions of Andersén-Lempert theory. We establish these properties for the Calogero-Moser space ▫${\cal C}_n$▫ of ▫$n$▫ particles and describe its group of holomorphic symplectic automor ...
Leto: 2025 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Direct products for the Hamiltonian density property
Rafael Benedikt Andrist, Gaofeng Huang
Izvirni znanstveni članek
Oznake: Hamiltonian density property;symplectic density property;direct product;traceless Calogero-Moser space;holomorphic symplectic automorphism;
We show that the direct product of two Stein manifolds with the Hamiltonian density property enjoys the Hamiltonian density property as well. We investigate the relation between the Hamiltonian density property and the symplectic density property. We then establish the Hamiltonian and the symplectic ...
Leto: 2026 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Parametric symplectic jet interpolation
Rafael Benedikt Andrist, Gaofeng Huang, Frank Kutzschebauch, Josua Schott
Izvirni znanstveni članek
Oznake: symplectic holomorphic automorphisms;parametric jet interpolation theorem;symplectic holomorphic maps;
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.
Leto: 2025 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 3
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