Gaps in the support of canonical currents on projective K3 surfaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929216453345280 |
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| author | Filip, Simion Tosatti, Valentino |
| author_facet | Filip, Simion Tosatti, Valentino |
| contents | We construct examples of canonical closed positive currents on projective K3 surfaces that are not fully supported on the complex points. The currents are the unique positive representatives in their cohomology classes and have vanishing self-intersection. The only previously known such examples were due to McMullen on non-projective K3 surfaces and were constructed using positive entropy automorphisms with a Siegel disk. Our construction is based on a Zassenhaus-type estimate for commutators of automorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_08633 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gaps in the support of canonical currents on projective K3 surfaces Filip, Simion Tosatti, Valentino Dynamical Systems Complex Variables 37F80, 32U40, 14J28, 14J50, 32M18, 20F14 We construct examples of canonical closed positive currents on projective K3 surfaces that are not fully supported on the complex points. The currents are the unique positive representatives in their cohomology classes and have vanishing self-intersection. The only previously known such examples were due to McMullen on non-projective K3 surfaces and were constructed using positive entropy automorphisms with a Siegel disk. Our construction is based on a Zassenhaus-type estimate for commutators of automorphisms. |
| title | Gaps in the support of canonical currents on projective K3 surfaces |
| topic | Dynamical Systems Complex Variables 37F80, 32U40, 14J28, 14J50, 32M18, 20F14 |
| url | https://arxiv.org/abs/2302.08633 |