Revised Demailly's Affineness Criterion and Algebraization of Entire Grauert Tubes
arXiv:2605.05582
Abstract
We provide a partial answer to Burns' 1982 conjecture on the affineness of entire Grauert tubes: the complement of a codimension-one subset of an entire Grauert tube is affine. This result is obtained by establishing a generalized version of Demailly's criterion for affineness of Stein manifolds, which may be of independent interest.
33 pages, journal submission version, comments very welcome