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


Author: Carlos Rito
Journal: Math. Comp. 79 (2010), 1091-1108
MSC (2000): Primary 14J29, 14Q05
Published electronically: September 2, 2009
MathSciNet review: 2600557
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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,\ldots,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.


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Additional Information

Carlos Rito
Affiliation: Departamento de Matemática, Universidade de Trás-os-Montes e Alto Douro, 5000-911 Vila Real, Portugal
Email: crito@utad.pt

DOI: https://doi.org/10.1090/S0025-5718-09-02283-2
Received by editor(s): April 14, 2008
Received by editor(s) in revised form: March 26, 2009
Published electronically: September 2, 2009
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.