On the Topological Extension to the Boundary of Biholomorphic Maps in C n

1976 ◽  
Vol 216 ◽  
pp. 203 ◽  
Author(s):  
R. Michael Range
Keyword(s):  
Biholomorphic Maps

scholarly journals Biholomorphic maps in Hilbert space have a fixed point

1971 ◽  
Vol 38 (2) ◽  
pp. 419-422 ◽  
Author(s):  
Thomas Hayden ◽  
Ted Suffridge
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Biholomorphic Maps

scholarly journals Analytic continuation of biholomorphic maps.

1988 ◽  
Vol 35 (3) ◽  
pp. 405-408 ◽  
Author(s):  
Eric Bedford ◽  
Sergey Pinchuk
Keyword(s):  
Analytic Continuation ◽  
Biholomorphic Maps

Automorphism groups of rational elliptic surfaces with section and constant J-map

2014 ◽  
Vol 12 (12) ◽  
Author(s):  
Tolga Karayayla
Keyword(s):  
Automorphism Groups ◽  
Zero Section ◽  
Ground Field ◽  
Elliptic Surfaces ◽  
Singular Fibers ◽  
Weil Group ◽  
Biholomorphic Maps ◽  
Rational Elliptic Surfaces ◽  
Fixed Section

AbstractIn this paper, the automorphism groups of relatively minimal rational elliptic surfaces with section which have constant J-maps are classified. The ground field is ℂ. The automorphism group of such a surface β: B → ℙ1, denoted by Au t(B), consists of all biholomorphic maps on the complex manifold B. The group Au t(B) is isomorphic to the semi-direct product MW(B) ⋊ Aut σ (B) of the Mordell-Weil groupMW(B) (the group of sections of B), and the subgroup Aut σ (B) of the automorphisms preserving a fixed section σ of B which is called the zero section on B. The Mordell-Weil group MW(B) is determined by the configuration of singular fibers on the elliptic surface B due to Oguiso and Shioda [9]. In this work, the subgroup Aut σ (B) is determined with respect to the configuration of singular fibers of B. Together with a previous paper [4] where the case with non-constant J-maps was considered, this completes the classification of automorphism groups of relatively minimal rational elliptic surfaces with section.

Biholomorphic maps of weakly pseudoconvex domains

1978 ◽  
Vol 45 (4) ◽  
pp. 711-719 ◽  
Author(s):  
Eric Bedford ◽  
John Erik Forn�ss
Keyword(s):  
Pseudoconvex Domains ◽  
Weakly Pseudoconvex ◽  
Biholomorphic Maps

The closing lemma for holomorphic maps

1997 ◽  
Vol 17 (4) ◽  
pp. 821-837 ◽  
Author(s):  
JOHN ERIK FORNÆSS ◽  
NESSIM SIBONY
Keyword(s):  
Holomorphic Maps ◽  
Closing Lemma ◽  
Biholomorphic Maps

The closing lemma is proved for various classes of holomorphic self-maps on ${\Bbb C}^k$. These classes include those consisting of biholomorphic maps, endomorphisms and symplectomorphisms.

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