G-coregularity of del Pezzo surfaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915515441610752 |
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| author | Loginov, Konstantin Przyjalkowski, Victor Trepalin, Andrey |
| author_facet | Loginov, Konstantin Przyjalkowski, Victor Trepalin, Andrey |
| contents | We introduce and study the notion of $G$-coregularity of algebraic varieties endowed with an action of a finite group $G$. We compute $G$-coregularity of smooth del Pezzo surfaces of degree at least 6, and give a characterization of groups that can act on conic bundles with $G$-coregularity 0. We describe the relations between the notions of $G$-coregularity, $G$-log-canonical thresholds, $G$-rigidity, and exceptional quotient singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17483 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | G-coregularity of del Pezzo surfaces Loginov, Konstantin Przyjalkowski, Victor Trepalin, Andrey Algebraic Geometry We introduce and study the notion of $G$-coregularity of algebraic varieties endowed with an action of a finite group $G$. We compute $G$-coregularity of smooth del Pezzo surfaces of degree at least 6, and give a characterization of groups that can act on conic bundles with $G$-coregularity 0. We describe the relations between the notions of $G$-coregularity, $G$-log-canonical thresholds, $G$-rigidity, and exceptional quotient singularities. |
| title | G-coregularity of del Pezzo surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2501.17483 |