On equations of double planes with 𝑝_{𝑔}=𝑞=1

Rito, Carlos

doi:10.1090/S0025-5718-09-02283-2

On equations of double planes with $p_g=q=1$
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by Carlos Rito;

Math. Comp. 79 (2010), 1091-1108

DOI: https://doi.org/10.1090/S0025-5718-09-02283-2

Published electronically: September 2, 2009

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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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