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5. On the canonical map of surfaces with q≥6

On the canonical map of surfaces with q≥6

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：fairylky

【摘 要】

：

We carry out an analysis of the canonical system of a minimal complex surface S of general type with irregularity q > 0.Using this analysis,we are able to sharp

【作 者】

：

MENDES LOPES Margarida PARDINI 

【机 构】

：

DepartamentodeMatem',atica,DipartimentodiMatematica,DipartimentodiMatematica

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2011年8期

【关键词】

：

地图 表面 复杂曲面 曲线曲面 普通型 纤维化 不等式 系统 canonical map of surfaces of general type irregul 

【基金项目】

：

supported by FCT （Portugal） through program POCTI/FEDER and Project PTDC/MAT/099275/2008, by MIUR （Italy） through project PRIN 2007 “Spazi di moduli e teorie di Lie”

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We carry out an analysis of the canonical system of a minimal complex surface S of general type with irregularity q > 0.Using this analysis,we are able to sharpen in the case q > 0 the well-known Castelnuovo inequality KS2≥3pg(S) + q(S)-7.Then we tu

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