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

Gerard van der Geer·René Schoof
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Abstract

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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Gerard van der Geer, René Schoof. 1999-06-29. Effectivity of Arakelov divisors and the theta divisor of a number field. https://arxiv.org/abs/math/9802121

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