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- W3146075736 abstract "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 earlier result of Mendes Lopes and Pardini (2010)." @default.
- W3146075736 created "2021-04-13" @default.
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- W3146075736 date "2011-01-01" @default.
- W3146075736 modified "2023-09-25" @default.
- W3146075736 title "On the canonical map of surfaces with q≥6" @default.
- W3146075736 hasPublicationYear "2011" @default.
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