Effectivity of Arakelov divisors and the theta divisor of a number field
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🧮 math.AG
keywords
divisorfieldnumberanaloguearakelovthetaarithmeticalbundle
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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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