Heights for line bundles on arithmetic surfaces
alg-geom
2008-02-03 v1 代数几何
摘要
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.
引用
@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}
}
备注
Mathematica Gottingensis, Heft 16, 1995, revised version, LaTeX2.09