A DESCENT THEOREM FOR FORMAL SMOOTHNESS
We give a descent result for formal smoothness having interesting applications: we deduce that quasiexcellence descends along flat local homomorphisms of finite type, we greatly improve Kunz’s characterization of regular local rings by means of the Frobenius homomorphisms as well as André and Radu r...
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| Veröffentlicht in: | Nagoya mathematical journal 2018-03, Vol.229, p.113-140 |
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| container_title | Nagoya mathematical journal |
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| creator | MAJADAS, JAVIER |
| description | We give a descent result for formal smoothness having interesting applications: we deduce that quasiexcellence descends along flat local homomorphisms of finite type, we greatly improve Kunz’s characterization of regular local rings by means of the Frobenius homomorphisms as well as André and Radu relativization of this result, etc. In the second part of the paper, we study a similar question for the complete intersection property instead of formal smoothness, giving also some applications. |
| doi_str_mv | 10.1017/nmj.2016.64 |
| format | Article |
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| fulltext | fulltext |
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| ispartof | Nagoya mathematical journal, 2018-03, Vol.229, p.113-140 |
| issn | 0027-7630 2152-6842 |
| language | eng |
| recordid | cdi_proquest_journals_2300604010 |
| source | Cambridge University Press Journals Complete |
| subjects | Algebra Descent Homology Homomorphisms Intersections Set theory Smoothness Theorems |
| title | A DESCENT THEOREM FOR FORMAL SMOOTHNESS |
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