Pure transcendental, immediate valuation ring extensions as limits of smooth algebras
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866915171740418048 |
|---|---|
| author | Popescu, Dorin |
| author_facet | Popescu, Dorin |
| contents | We show that a pure transcendental, immediate extension of valuation rings $V\subset V'$ containing a field is a filtered union of smooth $V$-subalgebras of $V'$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_00472 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Pure transcendental, immediate valuation ring extensions as limits of smooth algebras Popescu, Dorin Commutative Algebra Algebraic Geometry We show that a pure transcendental, immediate extension of valuation rings $V\subset V'$ containing a field is a filtered union of smooth $V$-subalgebras of $V'$. |
| title | Pure transcendental, immediate valuation ring extensions as limits of smooth algebras |
| topic | Commutative Algebra Algebraic Geometry |
| url | https://arxiv.org/abs/2206.00472 |