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- W3043105811 abstract "In this paper we give an algorithm that calculates a skeleton of a tame covering of curves over a complete discretely valued field. The algorithm mainly relies on the {tame simultaneous semistable reduction theorem}, for which we give a short proof based on first principles. To use this theorem in practice, we show that we can find extensions of prime ideals in normalizations using power series. We also prove that these power series can be used to find extensions of chains of prime ideals. This then allows us to reconstruct a skeleton of a tame covering. In studying the connections between power series and extensions of prime ideals, we furthermore obtain generalizations of classical theorems from number theory such as the Kummer-Dedekind theorem and Dedekind's theorem for cycles in Galois groups." @default.
- W3043105811 created "2020-07-23" @default.
- W3043105811 creator A5078983936 @default.
- W3043105811 date "2020-07-18" @default.
- W3043105811 modified "2023-09-27" @default.
- W3043105811 title "A generalization of the Newton-Puiseux algorithm for semistable models" @default.
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