A sharp lower bound for the canonical volume of 3-folds of general type

Details A sharp lower bound for the canonical volume of 3-folds of general type A sharp lower bound for the canonical volume of 3-folds of general type

2004-07-23

arxiv.org/abs/math/0407397v5

Mathematics

Algebraic Geometry

Final version, 22 pages, to appear in Math. Annalen

Scientific paper

Let V be a smooth projective 3-fold of general type. Denote by $K^3$, a rational number, the self-intersection of the canonical sheaf of any minimal model of V. One defines $K^3$ as the canonical volume of $V$. Assume $p_g\ge 2$. We show that $K^3\ge {1/3}$, which is a sharp lower bound. Then we classify those V with small $K^3$ up to explicit tructure. We also give some new examples with $p_g=2$ which have maximal canonical stability index. Finally we give an application to certain algebraic 4-folds.

Affiliated with

Also associated with

No associations

Rating

A sharp lower bound for the canonical volume of 3-folds of general type 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 A sharp lower bound for the canonical volume of 3-folds of general type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A sharp lower bound for the canonical volume of 3-folds of general type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-246389