Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds
Meng Chen
所有作者
Meng Chen
文献摘要
We give a 3-dimensional analogue of M. Noether’s inequality for
canonically polarized threefolds: K3≥2(2pg−5)/3. This inequality is
sharp by known examples of M. Kobayashi.
Given a minimal 3-fold X of general type with canonical singularities,
if K3<(3pg−5)/2, we show that X must be birationally fibred by curves of
genus 2.