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Some bidouble planes with p_g = q = 0 and 4 ≤ K² ≤ 7

Carlos Rito

University of Trás-os-Montes and Alto Douro, Portugal

Present address: Center for Mathematics, University of Porto, Portugal.

https://doi.org/10.1142/S0129167X15500354Cited by:3 (Source: Crossref)

Abstract

We give a list of possibilities for surfaces of general type with p_g = 0 having an involution i such that the bicanonical map of S is not composed with i and S/i is not rational. Some examples with K² = 4, …, 7 are constructed as double coverings of an Enriques surface. These surfaces have a description as bidouble coverings of the plane.

Keywords:

AMSC: 14J29

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