On the ramified class field theory of relative curves

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Quentin Guignard This is my paper · ORCID

classification math.AGmath.NT

keywords classfieldrelativetheoryapproacharbitrarycasecurve

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We generalize Deligne's approach to tame geometric class field theory to the case of a relative curve, with arbitrary ramification.

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Geometric local $\varepsilon$-factors in higher dimensions
math.AG 2019-08 accept novelty 8.0 of 10

Guignard establishes a higher-dimensional factorization of global ε-factors into local contributions via iterated vanishing cycles and refined Artin conductors.