Characteristic cycle and wild Lefschetz theorems
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Abstract
Abstract By relying on a new approach to Lefschetz type questions based on Beilinson’s singular support and Saito’s characteristic cycle, we prove an instance of the wild Lefschetz theorem envisioned by Deligne. Our main tool are new finiteness results for the characteristic cycles of perverse sheaves.
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View paper (DOI)Open access versionOpenAlexJournal für die reine und angewandte Mathematik (Crelles Journal)Published 2026-09-22
Authors: Haoyu Hu, Jean-Baptiste Teyssier
Institutions: Université Paris Cité, Sorbonne Université, Centre National de la Recherche Scientifique, Nanjing University of Information Science and Technology, Institut Universitaire de France, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Hankou University