Normal algebraic surfaces with trivial bicanonical divisor

[摘要] Let S be a rational projective algebraic surface, with at worst quotient singular points but with no rational double singular points, such that IKs similar to 0 for some minimal positive integer I. If I = 2, we prove that the fundamental group pi(1)(S - Sing S) is soluble of order less than or equal to 256 (Theorem 1). If I greater than or equal to 3 or S has at worst rational double singular points, then, in general, pi(1)(S - Sing S) is not finite (remark to Theorem 1). (C) 1996 Academic Press, Inc.

[发布日期] 1996-12-15