A new family of counterexamples to the Zariski Cancellation Problem in positive characteristic
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911848101576704 |
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| author | Ghosh, Parnashree Pal, Ananya |
| author_facet | Ghosh, Parnashree Pal, Ananya |
| contents | In this paper, over a field of positive characteristic we exhibit an infinite family of counter examples to the Zariski Cancellation Problem in higher dimensions ($\geqslant 3$) which are pairwise non-isomorphic and also non-isomorphic to the existing family of counter examples, demonstrated by Gupta in \cite{adv}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13803 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A new family of counterexamples to the Zariski Cancellation Problem in positive characteristic Ghosh, Parnashree Pal, Ananya Commutative Algebra Primary: 14R10, Secondary: 13B25, 13A50, 13A02 In this paper, over a field of positive characteristic we exhibit an infinite family of counter examples to the Zariski Cancellation Problem in higher dimensions ($\geqslant 3$) which are pairwise non-isomorphic and also non-isomorphic to the existing family of counter examples, demonstrated by Gupta in \cite{adv}. |
| title | A new family of counterexamples to the Zariski Cancellation Problem in positive characteristic |
| topic | Commutative Algebra Primary: 14R10, Secondary: 13B25, 13A50, 13A02 |
| url | https://arxiv.org/abs/2404.13803 |