[图书][B] Stein manifolds and holomorphic mappings

F Forstnerič - 2011 - Springer
The main stimulus for preparing this new edition was the lively development of the subject
since the publication of the first edition in 2011. I have tried to incorporate the new results as …

The first thirty years of Andersén-Lempert theory

F Forstnerič, F Kutzschebauch - Analysis Mathematica, 2022 - Springer
In this paper we expose the impact of the fundamental discovery, made by Erik Andersen
and László Lempert in 1992, that the group generated by shears is dense in the group of …

Proper holomorphic embeddings into Stein manifolds with the density property

R Andrist, F Forstnerič, T Ritter, EF Wold - Journal d'Analyse …, 2016 - Springer
We prove that a Stein manifold of dimension d admits a proper holomorphic embedding into
any Stein manifold of dimension at least 2 d+ 1 satisfying the holomorphic density property …

(Volume) density property of a family of complex manifolds including the Koras-Russell cubic threefold

M Leuenberger - Proceedings of the American Mathematical Society, 2016 - ams.org
We present modified versions of existing criteria for the density property and the volume
density property of complex manifolds. We apply these methods to show the (volume) …

Proper holomorphic immersions into Stein manifolds with the density property

F Forstnerič - Journal d'Analyse Mathématique, 2019 - Springer
1 Introduction Page 1 PROPER HOLOMORPHIC IMMERSIONS INTO STEIN MANIFOLDS
WITH THE DENSITY PROPERTY By FRANC FORSTNERIˇC Abstract. In this paper we prove …

[HTML][HTML] The algebraic density property for affine toric varieties

F Kutzschebauch, M Leuenberger, A Liendo - Journal of pure and applied …, 2015 - Elsevier
In this paper we generalize the algebraic density property to not necessarily smooth affine
varieties relative to some closed subvariety containing the singular locus. This property …

Algebraic (volume) density property for affine homogeneous spaces

S Kaliman, F Kutzschebauch - Mathematische Annalen, 2017 - Springer
Let X be a connected affine homogenous space of a linear algebraic group G over C C.(1) If
X is different from a line or a torus we show that the space of all algebraic vector fields on X …

On the density and the volume density property

S Kaliman, F Kutzschebauch - Complex Analysis and Geometry: KSCV10 …, 2015 - Springer
This article gives a short introduction into the notions of density property (DP) and volume
density property (VDP). Moreover we develop an effective criterion of verifying whether a …

The fibred density property and the automorphism group of the spectral ball

RB Andrist, F Kutzschebauch - Mathematische Annalen, 2018 - Springer
We generalize the notion of the density property for complex manifolds to holomorphic
fibrations, and introduce the notion of the fibred density property. We prove that the natural …

Lie algebra generated by locally nilpotent derivations on Danielewski surfaces

F Kutzschebauch, M Leuenberger - arXiv preprint arXiv:1311.1075, 2013 - arxiv.org
We give a full description of the Lie algebra generated by locally nilpotent derivations (short
LNDs) on smooth Danielewski surfaces $ D_p $ given by $ xy= p (z) $. In case $\mathrm …