| On the canonical map of surfaces with q≥6 |
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| 作者姓名： | MENDES LOPES Margarida PARDINI Rita PIROLA Gian Pietro |
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| 作者单位： | Departamento;Matem'atica;Instituto;Superior;Tcnico;Universidade;Tcnica;Lisboa;Av.Rovisco;Pais;1049-001;Portugal;Dipartimento;Matematica;Università;Pisa;Largo;B.Pontecorvo;56127;Italy;Pavia;Ferrata;27100; |
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| 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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| 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 sharpen in the case q > 0 the well-known Castelnuovo inequality KS2≥3pg(S) + q(S)-7.Then we turn to the study of surfaces with pg=2q-3 and no fibration onto a curve of genus > 1.We prove that for q≥6 the canonical map is birational.Combining this result with the analysis of the canonical system,we also prove the inequality:KS2≥7χ(S) + 2.This improves an e...
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