Generalized Mukai conjecture for special Fano varieties

Details Generalized Mukai conjecture for special Fano varieties Generalized Mukai conjecture for special Fano varieties

2003-09-30

arxiv.org/abs/math/0309473v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

Let X be a Fano variety of dimension n, pseudoindex i_X and Picard number
\rho_X. A generalization of a conjecture of Mukai says that \rho_X(i_X-1)\le n.
We prove that the conjecture holds if: a) X has pseudoindex i_X \ge
\frac{n+3}{3} and either has a fiber type extremal contraction or does not have
small extremal contractions b) X has dimension five.

Affiliated with

Also associated with

No associations

Rating

Generalized Mukai conjecture for special Fano varieties 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 Generalized Mukai conjecture for special Fano varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Mukai conjecture for special Fano varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-280264