Extended skeletons of poly-stable pairs
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866929352518664192 |
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| author | Fenzl, Thomas |
| author_facet | Fenzl, Thomas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_05130 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Extended skeletons of poly-stable pairs Fenzl, Thomas Algebraic Geometry Primary 32P05, Secondary 14G22 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. |
| title | Extended skeletons of poly-stable pairs |
| topic | Algebraic Geometry Primary 32P05, Secondary 14G22 |
| url | https://arxiv.org/abs/2102.05130 |