Non-embeddable 1-convex manifolds
Complex Variables
2018-12-12 v2 Algebraic Geometry
Abstract
We show that every small resolution of a three-dimensional terminal hypersurface singularity can occur on a non-embeddable 1-convex manifold. We give an explicit example of a non-embeddable manifold containing an irreducible exceptional rational curve with normal bundle of type (1,-3). To this end we study small resolutions of cD_4-singularities.
Cite
@article{arxiv.1209.6371,
title = {Non-embeddable 1-convex manifolds},
author = {Jan Stevens},
journal= {arXiv preprint arXiv:1209.6371},
year = {2018}
}
Comments
16 pages, 2 figures changes following referee report; some wrong formulas corrected