Bounded automorphism groups of compact complex surfaces
نویسندگان
چکیده
منابع مشابه
Domains in complex surfaces with non - compact automorphism groups ✩
Let X be an arbitrary complex surface and D a domain in X that has a non-compact group of holomorphic automorphisms. A characterization of those domains D that admit a smooth, weakly pseudoconvex, finite type boundary orbit accumulation point is obtained. © 2007 Elsevier Inc. All rights reserved.
متن کاملCompact automorphism groups of vertex operator algebras
Let V be a simple vertex operator algebra which admits the continuous, faithful action of a compact Lie group G of automorphisms. We establish a Schur-Weyl type duality between the unitary, irreducible modules for G and the irreducible modules for V G which are contained in V where V G is the space of G-invariants of V. We also prove a concomitant Galois correspondence between vertex operator s...
متن کاملReinhardt Domains with Non-compact Automorphism Groups
We give an explicit description of smoothly bounded Reinhardt domains with noncompact automorphism groups. In particular, this description confirms a special case of a conjecture of Greene/Krantz. 0. Introduction Let D be a bounded domain in C, n ≥ 2. Denote by Aut(D) the group of holomorphic automorphisms of D. The group Aut(D) with the topology of uniform convergence on compact subsets of D i...
متن کاملCompact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions
We characterize compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions on metric spaces, not necessarily compact, with Lipschitz involutions and determine their spectra.
متن کاملSolvable automorphism groups of a compact Kähler manifold
Let X be a compact Kähler manifold of complex dimension n, and let G be a connected solvable subgroup of the automorphism group Aut(X). Let N(G) be the normal subgroup of G of elements of null entropy. The aim of this short paper is to show that if X admits a Kähler metric invariant under G then G/N(G) is a free abelian group of rank ≤ n − 1 and that the rank estimate is optimal. This proves af...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Sbornik: Mathematics
سال: 2020
ISSN: 1064-5616,1468-4802
DOI: 10.1070/sm9335