Maximal monodromy in unequal characteristic

Details Maximal monodromy in unequal characteristic Maximal monodromy in unequal characteristic

2011-10-10

arxiv.org/abs/1110.1960v1

Mathematics

Algebraic Geometry

Scientific paper

Let $R$ be a complete discrete valuation ring of mixed characteristic $(0,p)$ with fraction field $K$. We study stable models of $p$-cyclic covers of $\Proj_K$. First, we determine the monodromy extension, the monodromy group, its filtration and the Swan conductor for special covers of arbitrarily high genus with potential good reduction. In the case $p=2$ we consider hyperelliptic curves of genus 2.

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