On Generalised Danielewski Surfaces over fields of arbitrary characteristic
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915318161473536 |
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| author | Saha, Debojyoti |
| author_facet | Saha, Debojyoti |
| contents | In this paper we study exponential maps ($\mathbb{G}_a$-actions) on the family of affine two dimensional surfaces of the form $f(x)y=ϕ(x,z)$ over arbitrary fields, describe the Makar-Limanov invariant and Derksen invariant of these surfaces, give a complete characterization of isomorphisms between such surfaces and display a subfamily which provides counterexamples to the cancellation problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01457 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Generalised Danielewski Surfaces over fields of arbitrary characteristic Saha, Debojyoti Commutative Algebra In this paper we study exponential maps ($\mathbb{G}_a$-actions) on the family of affine two dimensional surfaces of the form $f(x)y=ϕ(x,z)$ over arbitrary fields, describe the Makar-Limanov invariant and Derksen invariant of these surfaces, give a complete characterization of isomorphisms between such surfaces and display a subfamily which provides counterexamples to the cancellation problem. |
| title | On Generalised Danielewski Surfaces over fields of arbitrary characteristic |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2506.01457 |