Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds

Details Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds

2003-12-09

arxiv.org/abs/math/0312179v2

Mathematics

Algebraic Geometry

20 pages, modified version, to appear in Math. Res. Lett

Scientific paper

1) We give a 3-dimensional analogue of M. Noether's inequality for canonically polarized threefolds: $K^3\ge 2(2p_g-5)/3$. This inequality is sharp by known examples of M. Kobayashi. 2) Given a minimal 3-fold $X$ of general type with canonical singularities, if $K^3< (3p_g-5)/2$, we show that $X$ must be birationally fibred by curves of genus 2.

Affiliated with

Also associated with

No associations

Rating

Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-41483