Effectivity of Arakelov divisors and the theta divisor of a number field

Details Effectivity of Arakelov divisors and the theta divisor of a number field Effectivity of Arakelov divisors and the theta divisor of a number field

1998-02-27

arxiv.org/abs/math/9802121v3

Mathematics

Algebraic Geometry

Plain Tex with 5 figures, 21 pages, revised version

Scientific paper

We introduce the notion of an effective Arakelov divisor for a number field
and the arithmetical analogue of the dimension of the space of sections of a
line bundle. We study the analogue of the theta divisor for a number field.

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