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8 papers · 1 filter
Level sets of certain classes of -analytic functions
Abtin Daghighi, Frank Wikström
For an open set , denote by the family of -analytic functions that obey a boundary maximum modulus principle. We prove that, on a bounde…
Weak {}-concavity conditions for {}-manifolds
Mauro Nacinovich, Egmont Porten
We introduce various notions of q-pseudo-concavity for abstract CR manifolds and we apply these notions to the study of hyoo-ellipticity, maximum modulus principle and Cauchy probl…
Holomorphic automorphisms of Danielewski surfaces II -- structure of the overshear group
Rafael B. Andrist, Frank Kutzschebauch, Andreas Lind
We apply Nevanlinna theory for algebraic varieties to Danielewski surfaces and investigate their group of holomorphic automorphisms. Our main result states that the overshear group…
Holomorphic families of non-equivalent embeddings and of holomorphic group actions on affine space
Frank Kutzschebauch, Sam Lodin
We construct holomorphic families of proper holomorphic embeddings of $\C^k$ into $\C^n$ (), so that for any two different parameters in the family no holomorphic automorp…
Holomorphic Extension from Weakly Pseudoconcave CR Manifolds
A. Altomani, C. D. Hill, M. Nacinovich +1
Let M be a smooth locally embeddable CR manifold, having some CR dimension m and some CR codimension d. We find an improved local geometric condition on M which guarantees, at a po…
Subextension of plurisubharmonic functions with weak singularities
U. Cegrell, S. Kolodziej, A. Zeriahi
We prove several results showing that plurisubharmonic functions with various bounds on their Monge-Ampere masses on a bounded hyperconvex domain always admit global plurisubharmon…