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arXiv · 2211.10985

The quadratic Artin conductor of a motivic spectrum

Fangzhou Jin·Enlin Yang
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Abstract

Given a motivic spectrum $K$ over a smooth proper scheme which is dualizable over an open subscheme, we define its quadratic Artin conductor under some assumptions, and prove a formula relating the quadratic Euler characteristic of $K$, the rank of $K$ and the quadratic Artin conductor. As a consequence, we obtain a quadratic refinement of the classical Grothendieck-Ogg-Shafarevich formula.

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Fangzhou Jin, Enlin Yang. 2022-11-20. The quadratic Artin conductor of a motivic spectrum. https://arxiv.org/abs/2211.10985

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