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 …
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 …
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) …
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 …
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 …
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 …
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 …
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 …
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 …