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On equations of double planes with pg = q = 1

By Carlos Rito

Abstract

This paper describes how to compute equations of plane models of minimal Du Val double planes of general type with pg = 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. 2000 Mathematics Classification: 14J29, 14Q05.

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