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arXiv Open Access 2025
A non-algebraizable foliation

Paulo Sad

It is presented an example of a holomorphic foliation of a non-algebraizable surface which is topologically equivalent to an algebraic foliation.

en math.CV
arXiv Open Access 2013
On quaternionic functions

Pierre Dolbeault

Several sets of quaternionic functions are described and studied. Residue current of the right inverse of a quaternionic function is introduced in particular cases.

en math.CV
arXiv Open Access 1994
On the reflection principle in C^n

Alexander Sukhov

We propose a reflection principle for holomorphic objects in ${\Bbb C}^n$. Our construction generalizes the classical principle of H.Lewy, S.Pinchuk and S.Webster.

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