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Real Surfaces in Elliptic Surfaces

Complex Variables 2015-02-24 v1

Abstract

We study the structure of complex points on real surfaces, embedded into complex Elliptic surfaces. We show, for example, that any compact surface has a totally real embedding into a blow-up of a K3 surface. We also exhibit smooth disc bundles over compact orientable surfaces that have a Stein structure as Stein domains inside Elliptic surfaces.

Keywords

Cite

@article{arxiv.math/0309219,
  title  = {Real Surfaces in Elliptic Surfaces},
  author = {Marko Slapar},
  journal= {arXiv preprint arXiv:math/0309219},
  year   = {2015}
}

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7 pages