The minimal genus problem for elliptic surfaces
Geometric Topology
2019-03-05 v2 Algebraic Geometry
Abstract
We solve a certain case of the minimal genus problem for embedded surfaces in elliptic 4-manifolds. The proofs involve a restricted transitivity property of the action of the orientation preserving diffeomorphism group on the second homology. In the case we consider we get the minimal possible genus allowed by the adjunction inequality.
Cite
@article{arxiv.1206.1260,
title = {The minimal genus problem for elliptic surfaces},
author = {M. J. D. Hamilton},
journal= {arXiv preprint arXiv:1206.1260},
year = {2019}
}
Comments
11 pages; to appear in Israel. J. Math