On divisorial stability of finite covers
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929317844353024 |
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| author | Dervan, Ruadhaí Papazachariou, Theodoros Stylianos |
| author_facet | Dervan, Ruadhaí Papazachariou, Theodoros Stylianos |
| contents | Divisorial stability of a polarised variety is a stronger - but conjecturally equivalent - variant of uniform K-stability introduced by Boucksom-Jonsson. Whereas uniform K-stability is defined in terms of test configurations, divisorial stability is defined in terms of convex combinations of divisorial valuations on the variety.
We consider the behaviour of divisorial stability under finite group actions, and prove that equivariant divisorial stability of a polarised variety is equivalent to log divisorial stability of its quotient. We use this and an interpolation technique to give a general construction of equivariantly divisorially stable polarised varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07151 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On divisorial stability of finite covers Dervan, Ruadhaí Papazachariou, Theodoros Stylianos Algebraic Geometry Differential Geometry Divisorial stability of a polarised variety is a stronger - but conjecturally equivalent - variant of uniform K-stability introduced by Boucksom-Jonsson. Whereas uniform K-stability is defined in terms of test configurations, divisorial stability is defined in terms of convex combinations of divisorial valuations on the variety. We consider the behaviour of divisorial stability under finite group actions, and prove that equivariant divisorial stability of a polarised variety is equivalent to log divisorial stability of its quotient. We use this and an interpolation technique to give a general construction of equivariantly divisorially stable polarised varieties. |
| title | On divisorial stability of finite covers |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2306.07151 |