On the formal principle for curves on projective surfaces
Algebraic Geometry
2020-09-16 v2
Abstract
We prove that the formal completion of a complex projective surface along a rigid smooth curve with trivial normal bundle determines the birational equivalence class of the surface.
Keywords
Cite
@article{arxiv.1906.12219,
title = {On the formal principle for curves on projective surfaces},
author = {Jorge Vitório Pereira and Olivier Thom},
journal= {arXiv preprint arXiv:1906.12219},
year = {2020}
}
Comments
Minor corrections following suggestions by a referee. Accepted for publication in Mathematische Annalen