Numerically anticanonical divisors on Kato surfaces

作者:Fujiki Akira; Pontecorvo Massimiliano*
来源:Journal of Geometry and Physics, 2015, 91: 117-130.
DOI:10.1016/j.geomphys.2015.01.001

摘要

The compact curves of an intermediate Kato surface S form a basis of H-2(S, Q). We present a way to compute the associated rational coefficients of the first Chern class c(1) (S). We get in particular a simple geometric obstruction for c(1) (S) to be an integral class, or equivalently index (S) = 1. In the final part we discuss relations with some recent work of Dloussky (2011) and Oeljeklaus and Toma (2009).

  • 出版日期2015-5