An Arakelov theoretic proof of the equality of conductor and discriminant

Details An Arakelov theoretic proof of the equality of conductor and discriminant An Arakelov theoretic proof of the equality of conductor and discriminant

2000-06-06

arxiv.org/abs/math/0006043v1

Mathematics

Algebraic Geometry

4 pages

Scientific paper

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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