Mathematics – Algebraic Geometry
Scientific paper
2010-05-21
Pure and Applied Mathematics Quarterly 7(2011), 1105--1128
Mathematics
Algebraic Geometry
20 pages, To appear in Pure and Applied Mathematics Quarterly (Special volume for Eckart Viehweg)
Scientific paper
This note aims to improve known numerical bounds proved earlier by Chen \cite{PAMS} and Chen-Hacon \cite{Chen-Hacon} and to present some new examples of smooth minimal 3-folds canonically fibred by surfaces (resp. curves) of geometric genus as large as 19 (resp. 13). As an interesting by-product, we present a new class of general type surfaces which are canonically fibred by curves of genus 13.
Chen Meng
Cui Aoxiang
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