Heights for line bundles on arithmetic surfaces

Details Heights for line bundles on arithmetic surfaces Heights for line bundles on arithmetic surfaces

1995-08-06

arxiv.org/abs/alg-geom/9508003v1

Mathematics

Algebraic Geometry

Mathematica Gottingensis, Heft 16, 1995, revised version, LaTeX2.09

Scientific paper

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.

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