Ramification theory of reciprocity sheaves, I: Zariski-Nagata purity
arXiv (Cornell University)(2023)
摘要
We prove a Zariski-Nagata purity theorem for the motivic ramification filtration of a reciprocity sheaf. An important tool in the proof is a generalization of the Kato-Saito reciprocity map from geometric global class field theory to all reciprocity sheaves. As a corollary we obtain cut-by-curves and cut-by-surfaces criteria for various ramification filtrations. In some cases this reproves known theorems, in some cases we obtain new results.
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关键词
reciprocity sheaves,ramification,zariski–nagata
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