Algebra & Number Theory
- Algebra Number Theory
- Volume 8, Number 3 (2014), 689-701.
Lefschetz theorem for abelian fundamental group with modulus
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.
Algebra Number Theory, Volume 8, Number 3 (2014), 689-701.
Received: 27 April 2013
Revised: 12 November 2013
Accepted: 10 December 2013
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14H30: Coverings, fundamental group [See also 14E20, 14F35]
Secondary: 14E22: Ramification problems [See also 11S15]
Kerz, Moritz; Saito, Shuji. Lefschetz theorem for abelian fundamental group with modulus. Algebra Number Theory 8 (2014), no. 3, 689--701. doi:10.2140/ant.2014.8.689. https://projecteuclid.org/euclid.ant/1513730171