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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2512.16320 |
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| _version_ | 1866910137447350272 |
|---|---|
| author | Tazoe, Itsuki |
| author_facet | Tazoe, Itsuki |
| contents | We give an explicit and complete description of bubbling limits of a non-collapsing limit of polarized K3 surfaces in terms of the period mapping. In particular, we show that bubbling limits only depend on algebro-geometric data of the given family. As a corollary, this gives an affirmative answer to a conjecture of de Borbon--Spotti and confirms that Odaka's algebro-geometric candidate gives genuine bubbling limits in K3 surfaces case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16320 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bubbling limits of non collapsing polarized K3 surfaces Tazoe, Itsuki Algebraic Geometry Differential Geometry We give an explicit and complete description of bubbling limits of a non-collapsing limit of polarized K3 surfaces in terms of the period mapping. In particular, we show that bubbling limits only depend on algebro-geometric data of the given family. As a corollary, this gives an affirmative answer to a conjecture of de Borbon--Spotti and confirms that Odaka's algebro-geometric candidate gives genuine bubbling limits in K3 surfaces case. |
| title | Bubbling limits of non collapsing polarized K3 surfaces |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2512.16320 |