Guignard establishes a higher-dimensional factorization of global ε-factors into local contributions via iterated vanishing cycles and refined Artin conductors.
Blow-ups and the class field theory for curves
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abstract
We propose another proof of the geometric class field theory for curves by considering blow-ups of symmetric products of curves.
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2019 1verdicts
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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.