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Bibliographic Details
Main Authors: Orgogozo, Fabrice, Riou, Joël
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2312.07776
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Table of Contents:
  • Relying on the formalism developed by Alexander Beilinson and Takeshi Saito, we compute the characteristic cycle of an external symmetric power of a tame étale sheaf on a curve. This generalizes a result of Gérard Laumon in characteristic 0 and leads to a result of local acyclicity of the Abel-Jacobi morphism, due to Pierre Deligne and motivated by his geometric approach to the product formula for the determinant of cohomology (epsilon factor).