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On canonical fibrations of algebraic surfaces

Research paper by Xiaotao Sun

Indexed on: 01 Dec '94Published on: 01 Dec '94Published in: Manuscripta Mathematica



Abstract

LetS be an algebraic surface of general type. If the canonical system |KS| ofS is a pencil of genusg, we hope to find the largestc(g) such thatKS2≥c(g)pg+constant. We have known thatc(3)≤6. In this paper, we proved thatc(3)≥5.25.