Blow-ups and the class field theory for curves

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arxiv 1804.02136 v1 pith:D7UIC6XV submitted 2018-04-06 math.AG

Daichi Takeuchi This is my paper · ORCID

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keywords curvesblow-upsclassfieldtheoryanotherconsideringgeometric

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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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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.