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

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

2008-04-14

arxiv.org/abs/0804.2227v1

Mathematics

Algebraic Geometry

18 pages

Scientific paper

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.

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