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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.26659 |
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| _version_ | 1866918485214363648 |
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| author | Proskurnin, Ivan |
| author_facet | Proskurnin, Ivan |
| contents | In this paper we improve the previously achieved upper bound on the corank of an equivariantly stable singularity for a group of prime order. We also prove that the maximal corank of a simple $\mathbb{Z}_p$-invariant germ tends to infinity as $p$ increases and is asymptotically logarithmic, so the previously obtained bound is valid up to order of magnitude. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26659 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence and maximal corank of simple $Z_p$-invariant germs Proskurnin, Ivan Algebraic Geometry In this paper we improve the previously achieved upper bound on the corank of an equivariantly stable singularity for a group of prime order. We also prove that the maximal corank of a simple $\mathbb{Z}_p$-invariant germ tends to infinity as $p$ increases and is asymptotically logarithmic, so the previously obtained bound is valid up to order of magnitude. |
| title | Existence and maximal corank of simple $Z_p$-invariant germs |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2604.26659 |