On holomorphic automorphisms of a class of non-homogeneous rigid hypersurfaces in ℂ N+1

2010 ◽  
Vol 31 (2) ◽  
pp. 201-210
Author(s):  
Qingyan Wu
Keyword(s):  
Holomorphic Automorphisms

scholarly journals Free dense subgroups of holomorphic automorphisms

2015 ◽  
Vol 280 (1-2) ◽  
pp. 335-346 ◽  
Author(s):  
Rafael B. Andrist ◽  
Erlend Fornæss Wold
Keyword(s):  
Dense Subgroups ◽  
Holomorphic Automorphisms

scholarly journals Adaptive trains for attracting sequences of holomorphic automorphisms

2015 ◽  
Vol 1 (1) ◽  
Author(s):  
Han Peters ◽  
Iris Marjan Smit
Keyword(s):  
Holomorphic Automorphisms

scholarly journals Holomorphic automorphisms and cancellation theorems

1981 ◽  
Vol 81 ◽  
pp. 91-103 ◽  
Author(s):  
Toshio Urata
Keyword(s):  
Analytic Space ◽  
Biholomorphic Mapping ◽  
Direct Factor ◽  
Positive Dimension ◽  
Analytic Subvariety ◽  
Holomorphic Automorphisms ◽  
Complex Analytic Space

Let X be a complex analytic space of positive dimension and A a complex analytic subvariety of X. We call A a direct factor of X if there exist a complex analytic space B and a biholomorphic mapping f: A × B → X such that, for some b ∊ B, f(a, b) = a on A, and a complex analytic space X to be primary if X has no direct factor, not equal to X itself, of positive dimension.

scholarly journals Complete algebraic vector fields on affine surfaces

2020 ◽  
Vol 31 (03) ◽  
pp. 2050018
Author(s):  
Shulim Kaliman ◽  
Frank Kutzschebauch ◽  
Matthias Leuenberger
Keyword(s):  
Algebraic Surface ◽  
Vector Fields ◽  
Algebraic Surfaces ◽  
Algebraic Vector ◽  
Dual Graphs ◽  
Holomorphic Automorphisms

Let [Formula: see text] be the subgroup of the group [Formula: see text] of holomorphic automorphisms of a normal affine algebraic surface [Formula: see text] generated by elements of flows associated with complete algebraic vector fields. Our main result is a classification of all normal affine algebraic surfaces [Formula: see text] quasi-homogeneous under [Formula: see text] in terms of the dual graphs of the boundaries [Formula: see text] of their SNC-completions [Formula: see text].

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