Abstract

We study the construction of complex minimal smooth surfaces S of general type with pg(S)=0 and KS2=7. Inoue constructed the first examples of such surfaces, which can be described as Galois Z/2Z×Z/2Z-covers over the four-nodal cubic surface. Later the first named author constructed more examples as Galois Z/2Z×Z/2Z-covers over certain six-nodal del Pezzo surfaces of degree one.In this paper we construct a two-dimensional family of minimal smooth surfaces of general type with pg=0 and K2=7, as Galois Z/2Z×Z/2Z-covers of certain rational surfaces with Picard number three, with eight nodes and with two elliptic fibrations. This family is different from the previous ones.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.