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arXiv · 1510.06453

Equidistant liftings of elementary abelian Galois covers of curves

Daniele Turchetti
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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.

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Daniele Turchetti. 2025-03-26. Equidistant liftings of elementary abelian Galois covers of curves. https://arxiv.org/abs/1510.06453

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