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arXiv · 2102.05130

Extended skeletons of poly-stable pairs

Thomas Fenzl
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Abstract

We introduce the notion of poly-stable pairs of formal schemes over the valuation ring of a non-archimedean field. For such pairs we define and investigate the dual intersection complex. We proceed to develop the so called extended skeleton of a poly-stable pair via an approximation process using the classical skeletons constructed by Berkovich. This is essentially a generalization of a construction by Gubler, Rabinoff and Werner from the strictly semi-stable case to the arbitrary poly-stable case and we extend their results.

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Thomas Fenzl. 2021-02-09. Extended skeletons of poly-stable pairs. https://arxiv.org/abs/2102.05130

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