On equations of double planes with $p_g=q=1$

Carlos Rito

On equations of double planes with $p_g=q=1$

Algebraic Geometry 2008-04-15 v1

Authors: Carlos Rito

Abstract

This paper describes how to compute equations of plane models of minimal Du Val double planes of general type with $p_g=q=1$ and $K^2=2,...,8.$ A double plane with $K^2=8$ having bicanonical map not composed with the associated involution is also constructed. The computations are done using the algebra system Magma.

Cite

@article{arxiv.0804.2227,
  title  = {On equations of double planes with $p_g=q=1$},
  author = {Carlos Rito},
  journal= {arXiv preprint arXiv:0804.2227},
  year   = {2008}
}

Comments

18 pages

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