Lefschetz theorem for abelian fundamental group with modulus

Abstract

We prove a Lefschetz hypersurface theorem for abelian fundamental groups allowing wild ramification along some divisor. In fact, we show that isomorphism holds if the degree of the hypersurface is large relative to the ramification along the divisor.

10 pages, final version; for erratum see https://msp.org/ant/2022/16-8/pC1.xhtml

References in corpus (1)

• A finiteness theorem for Galois representations of function fields over finite fields (after Deligne)

Cited by in corpus (4)

• Chow group of 0-cycles with modulus and higher dimensional class field theory
• Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes over ${\mathbb{F}}_q[[t]]$
• Bloch's formula for 0-cycles with modulus and higher dimensional Class Field Theory
• Cycle class maps for Chow groups of zero-cycles with modulus