Mathematical Research Letters

Volume 21 (2014)

Number 5

Oka properties of groups of holomorphic and algebraic automorphisms of complex affine space

Pages: 1047 – 1067



Franc Forstnerič (Faculty of Mathematics and Physics, University of Ljubljana, and Institute of Mathematics, Physics, and Mechanics, Ljubljana, Slovenia)

Finnur Lárusson (School of Mathematical Sciences, University of Adelaide, Adelaide, South Australia)


We show that the group of all holomorphic automorphisms of complex affine space $\mathbb{C}^n , n \gt 1$, and several of its subgroups satisfy the parametric Oka property with approximation and with interpolation on discrete sets.


Stein manifold, Oka manifold, complex affine space, holomorphic automorphism, polynomial automorphism, approximation, interpolation

2010 Mathematics Subject Classification

Primary 32E10. Secondary 14R10, 32E30, 32H02, 32Q28.

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