On Schoen surfaces

作者:Ciliberto Ciro*; Lopes Margarida Mendes; Roulleau Xavier
来源:Commentarii Mathematici Helvetici, 2015, 90(1): 59-74.
DOI:10.4171/CMH/346

摘要

We give a new construction of the irregular surfaces of general type with p(g) = 5, chi = 2; K-2 = 8, recently discovered by C. Schoen in [24]. Our approach proves that, if S is a general Schoen surface, its canonical map is a finite morphism of degree 2 onto a canonical surface with invariants p(g) = 5, chi = 6; K-2 = 8, a complete intersection of a quadric and a quartic hypersurface in P-4, with 40 even nodes.

  • 出版日期2015