• Corpus ID: 115164317

Automorphisms of numerical Godeaux surfaces with torsion of order 3, 4, or 5

@article{Maggiolo2010AutomorphismsON,
  title={Automorphisms of numerical Godeaux surfaces with torsion of order 3, 4, or 5},
  author={Stefano Maggiolo},
  journal={arXiv: Algebraic Geometry},
  year={2010}
}
  • S. Maggiolo
  • Published 18 February 2010
  • Mathematics
  • arXiv: Algebraic Geometry
We compute the automorphisms groups of all numerical Godeaux surfaces, i.e. minimal smooth surfaces of general type with K^2 = 1 and p_g = 0, with torsion of the Picard group of order \nu equals 3, 4, or 5. We present explicit stratifications of the moduli spaces whose strata correspond to different automorphisms groups. Using the automorphisms computation, for each value of \nu we define a quotient stack, and prove that for \nu = 5 this is indeed the moduli stack of numerical Godeaux surfaces… 

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