The p-Rank of Ramified Covers of Curves

By Irene I. Bouw. Compositio Mathematica, 2001

61 citations recorded by the source corpus.

In this paper we study the p-rank of Abelian prime-to-p covers of the generic r-pointed curve of genus g. There is an obvious bound on the p-rank of the cover. We show that it suffices to compute the p-rank of cyclic prime-to-p covers of the generic r-pointed curve of genus zero. In that situation, we show that, for large p, the p-rank of the cover is equal to the bound.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, History

View Paper: https://www.semanticscholar.org/paper/da15e5a5f21365f6efb3bb088d326423f1a2fd75

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In Discrete Mathematics and Combinatorics

1. A. Zorich
2. Carlos Matheus
3. G. Forni

In Geometry and Topology

1. Carlos Matheus
2. G. Forni
3. A. Zorich
4. Alexander I. Bufetov
5. A. Eskin
6. Marcelo Viana
7. Artur Avila
8. J. Yoccoz

In History

1. A. Zorich

Citations in the corpus

• SQUARE-TILED CYCLIC COVERS (2010, background): “Möller who told us about cyclic covers, directed us to the reference [5] and suggested the correct algebraic equation of one of our examples.”