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arXiv · 1303.1750

On Schoen surfaces

Ciro Ciliberto·Margarida Mendes Lopes·Xavier Roulleau
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Abstract

We give a new construction of the irregular, generalized Lagrangian, surfaces of general type with p_g=5, \chi=2, K^2=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 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.

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Ciro Ciliberto, Margarida Mendes Lopes, Xavier Roulleau. 2013-03-07. On Schoen surfaces. https://arxiv.org/abs/1303.1750

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