Limit holomorphic sections and Donaldson's construction of symplectic submanifolds
Symplectic Geometry
2021-06-08 v4
Abstract
In this note, we reformulate Donaldson's construction as a compactness result. Approximately holomorphic sections accumulate to "limit holomorphic sections" and uniform transversality properties of the approximately holomorphic sections correspond to transversality properties of their limits.
Keywords
Cite
@article{arxiv.1610.06111,
title = {Limit holomorphic sections and Donaldson's construction of symplectic submanifolds},
author = {Jean-Paul Mohsen},
journal= {arXiv preprint arXiv:1610.06111},
year = {2021}
}
Comments
v4: added details concerning the relation between this reformulation and the standard formulation