arXiv Analytics

Sign in

arXiv:2211.08734 [math.NT]AbstractReferencesReviewsResources

Slope boundedness and Equidistribution theorem

Wenbin Luo

Published 2022-11-16Version 1

In this article, we prove the boundedness of minimal slopes of adelic line bundles over function fields of characteristic 0. This can be applied to prove the equidistribution of generic and small points with respect to a big and semipositive adelic line bundle. Our methods can be applied to the finite places of number fields as well. We also show the continuity of $\chi$-volumes over function fields.

Categories: math.NT, math.AG, math.DS
Related articles: Most relevant | Search more
arXiv:1111.5600 [math.NT] (Published 2011-11-23)
On the Invariants of Towers of Function Fields over Finite Fields
arXiv:math/0109163 [math.NT] (Published 2001-09-21, updated 2004-05-20)
Elliptic curves with large rank over function fields
arXiv:math/0401356 [math.NT] (Published 2004-01-26)
Common divisors of a^n-1 and b^n-1 over function fields

Links

Toolbox