Positivity of heights of codimension 2 cycles over function field of characteristic 0

Details Positivity of heights of codimension 2 cycles over function field of characteristic 0 Positivity of heights of codimension 2 cycles over function field of characteristic 0

2010-01-26

arxiv.org/abs/1001.4788v1

Mathematics

Algebraic Geometry

Scientific paper

In this note, we show how the classical Hodge index theorem implies the Hodge index conjecture of Beilinson for height pairing of homologically trivial codimension two cycles over function field of characteristic 0. Such an index conjecture has been used in our paper on Gross-Schoen cycles to deduce the Bogomolov conjecture and a lower bound for Hodge class (or Faltings height) from some conjectures about metrized graphs which have just been recently proved by Zubeyir Cinkir.

Affiliated with

Also associated with

No associations

Rating

Positivity of heights of codimension 2 cycles over function field of characteristic 0 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 Positivity of heights of codimension 2 cycles over function field of characteristic 0, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Positivity of heights of codimension 2 cycles over function field of characteristic 0 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-237878