Algebraic Surfaces of General Type with K^2 = 2p_g-1, p_g■5

作     者：Liu Xianfang, Department of Mathematics East China Normal University Shanghai, 200062 ChinaCurrent address: Institute of systems science Beijing, 100080 China 

作者机构：Department of Mathematics East China Normal University Shanghai China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1996年第12卷第3期

页      面：234-243页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Double cover Canonical resolution Fibration Singular fiber Ramification divisor Branch locus 

摘      要：This paper mainly deals with minimal algebraic surfaces of general type with K^2= 2p_g-1. We prove that for p_g 7 all these surfaces are birational to a double cover of some rational surfaces, and all but a finite classes of them have a unique fibration of genus 2; then we study their structures by determining their branch loci and singular fibres. We study similarly for surfaces with p_g=5, 6. Lastly we show that when p_g 13 all these surfaces are simply-connected.