On subelliptic manifolds

Shulim Kaliman, Frank Kutzschebauch, Tuyen Trung Truong

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

A smooth complex quasi-affine algebraic variety Y is flexible if its special group SAut(Y) of automorphisms (generated by the elements of onedimensional unipotent subgroups of Aut(Y)) acts transitively on Y, and an algebraic variety is stably flexible if its product with some affine space is flexible. An irreducible algebraic variety X is locally stably flexible if it is a union of a finite number of Zariski open sets each of which is stably flexible. The main result of this paper states that the blowup of a locally stably flexible variety along a smooth algebraic subvariety (not necessarily equidimensional or connected) is subelliptic, and, therefore, it is an Oka manifold.

Original languageEnglish (US)
JournalIsrael Journal of Mathematics
DOIs
StateAccepted/In press - Jan 1 2018

ASJC Scopus subject areas

  • Mathematics(all)

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