Mesures de Mahler et équidistribution logarithmique

Details Mesures de Mahler et équidistribution logarithmique Mesures de Mahler et équidistribution logarithmique

2006-12-19

arxiv.org/abs/math/0612556v2

Ann. Inst. Fourier (Grenoble) 59 (2009), no. 3, 977-1014

Mathematics

Number Theory

33 pages, in french

Scientific paper

Let X be a projective integral normal scheme over a number field F; let L be a ample line bundle on X together with a semi-positive adelic metric in the sense of Zhang. The main results of this article are 1) A formula which computes the height (relative to L) of a Cartier divisor D on X as generalized "Mahler measures", i.e. by integrating Green functions for D against measures attached to L. 2) a theorem of equidistribution of points of "small" height valid for functions with logarithmic singularities along a divisor D, provided the height of D is "minimal". In the context of algebraic dynamics, "small" means of height converging to 0, and "minimal" means height 0.

Affiliated with

Also associated with

No associations

Rating

Mesures de Mahler et équidistribution logarithmique 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 Mesures de Mahler et équidistribution logarithmique, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mesures de Mahler et équidistribution logarithmique will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-315853