Equidistant liftings of elementary abelian Galois covers of curves

2015/10/21 by Turchetti, Daniele
#11D88 #14E20 #14G17 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1510.06453

Abstract

In this paper, we discuss the local lifting problem for the action of elementary abelian groups. Studying logarithmic differential forms linked to deformations of (μ_p)ⁿ-torsors, we show necessary conditions on the set of ramification points in order to get equidistant liftings. Such conditions of combinatoric nature lead us to show new obstructions to lifting actions of Z/3Z x Z/3Z.

Related

• Lifting Elementary Abelian Covers of Curves
• The local lifting problem for actions of finite groups on curves
• An obstruction to the local lifting problem
• Fake Liftings of Galois Covers between Smooth Curves
• The refined local lifting problem for cyclic covers of order four