On Schoen surfaces

  • Ciro Ciliberto

    Università di Roma, Italy
  • Margarida Mendes Lopes

    Instituto Superior Técnico, Lisboa, Portugal
  • Xavier Roulleau

    Université de Poitiers, Futuroscope Chasseneuil, France


We give a new construction of the irregular surfaces of general type with ,recently discovered by C. Schoen in [24]. Our approach proves that, if is a general Schoen surface, its canonical map is a finite morphism of degree 2 onto a canonical surface with invariants , a complete intersection of a quadric and a quartic hypersurface in , with 40 even nodes.

Cite this article

Ciro Ciliberto, Margarida Mendes Lopes, Xavier Roulleau, On Schoen surfaces. Comment. Math. Helv. 90 (2015), no. 1, pp. 59–74

DOI 10.4171/CMH/346