On Schoen surfaces
Abstract
We give a new construction of the irregular, generalized Lagrangian, surfaces of general type with pg=5, =2, K2=8, recently discovered by Chad Schoen. 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 pg=5, =6, K2=8, a complete intersection of a quadric and a quartic hypersurface in P4, with 40 even nodes.
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