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An Arakelov theoretic proof of the equality of conductor and discriminant

Sinan Unver
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Abstract

We give an Arakelov theoretic proof of the equality of conductor and discriminant for arithmetic surfaces over number fields. This was first proved by T. Saito for relative curves over discrete valuation rings.

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Sinan Unver. 2000-06-06. An Arakelov theoretic proof of the equality of conductor and discriminant. https://arxiv.org/abs/math/0006043

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