Guignard establishes a higher-dimensional factorization of global ε-factors into local contributions via iterated vanishing cycles and refined Artin conductors.
On the ramified class field theory of relative curves
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abstract
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
Guignard establishes a higher-dimensional factorization of global ε-factors into local contributions via iterated vanishing cycles and refined Artin conductors.