Cycles positifs dans les variétés abéliennes

Details Cycles positifs dans les variétés abéliennes Cycles positifs dans les variétés abéliennes

2011-09-12

arxiv.org/abs/1109.2483v2

Mathematics

Algebraic Geometry

29 pages, in french, typos fixed

Scientific paper

In the first part, we study the structure of the R-algebra generated by the Hodge classes on the self-product A^e of a very general principally polarized abelian variety A. In the second part, we compare various notions of positivity for cycles of higher codimension in A^e. In particular, we prove that, in every codimension 1 < k < en-1, there exist classes that are numerically effective but not pseudoeffective, which generalises a result of Debarre, Ein, Lazarsfeld and Voisin.

Affiliated with

Also associated with

No associations

Rating

Cycles positifs dans les variétés abéliennes 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 Cycles positifs dans les variétés abéliennes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cycles positifs dans les variétés abéliennes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-60183