A surface of general type with $ p_g =q =0, K^2 =1 $

Caryn Werner

A surface of general type with $ p_g =q =0, K^2 =1 $

alg-geom 2008-02-03 v1 Algebraic Geometry

Authors: Caryn Werner

Abstract

We construct a surface of general type with invariants $\chi = K^2 = 1$ and torsion group $\Bbb{Z}/{2}$ . We use a double plane construction by finding a plane curve with certain singularities, resolving these, and taking the double cover branched along the resulting smooth curve.

Keywords

surface of general type invariants double cover plane curve torsion group

Cite

@article{arxiv.alg-geom/9408007,
  title  = {A surface of general type with \( p_g =q =0, K^2 =1 \)},
  author = {Caryn Werner},
  journal= {arXiv preprint arXiv:alg-geom/9408007},
  year   = {2008}
}

Comments

13 pages, AMS-LaTex version 1.1

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