Characteristic cycle and wild Lefschetz theorems

Fuente: arXiv
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Autori principali: Hu, Haoyu, Teyssier, Jean-Baptiste
Natura: Preprint
Pubblicazione: 2025
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author Hu, Haoyu
Teyssier, Jean-Baptiste
author_facet Hu, Haoyu
Teyssier, Jean-Baptiste
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_11064
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Characteristic cycle and wild Lefschetz theorems
Hu, Haoyu
Teyssier, Jean-Baptiste
Algebraic Geometry
Number Theory
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.
title Characteristic cycle and wild Lefschetz theorems
topic Algebraic Geometry
Number Theory
url https://arxiv.org/abs/2502.11064