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Abstract Sarti

Explicit Schoen surfaces

I will present an explicit geometric construction of some special surfaces of general type described by Schoen in 2007, that occupy an important place in the geography of surfaces of general type. I will show how the construction involves the Segre cubic, the Igusa quartic and K3 quartic surfaces with fifteen nodes. This is a joint work in progress with Carlos Rito and Xavier Roulleau.