Heights for line bundles on arithmetic surfaces
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
For line bundles on arithmetic varieties we construct height functions using arithmetic intersection theory. In the case of an arithmetic surface, generically of genus g, for line bundles of degree g equivalence is shown to the height on the Jacobian defined by the Theta divisor.
Keywords
Cite
@article{arxiv.alg-geom/9508003,
title = {Heights for line bundles on arithmetic surfaces},
author = {Joerg Jahnel},
journal= {arXiv preprint arXiv:alg-geom/9508003},
year = {2008}
}
Comments
Mathematica Gottingensis, Heft 16, 1995, revised version, LaTeX2.09