Normal Algebraic Surfaces with Trivial Bicanonical Divisor

✍ Scribed by R.V. Gurjar; D.-Q. Zhang

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 215 KB
• Volume: 186
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.0402

✦ Synopsis

Let S be a rational projective algebraic surface, with at worst quotient singular points but with no rational double singular points, such that IK ; 0 for some S Ž minimal positive integer I. If I s 2, we prove that the fundamental group S y 1 . Ž . Sing S is soluble of order F 256 Theorem 1 . If I G 3 or S has at worst rational Ž . Ž double singular points, then, in general, S y Sing S is not finite remark to 1 . Theorem 1 .