Timeline for Can the transcendence degree differ from the Krull dimension for the pluricanonical ring of a variety?
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| Dec 14, 2016 at 15:33 | comment | added | R. van Dobben de Bruyn | There are shockingly few references treating dimension theory in the non-Noetherian case. Even EGA doesn't really touch this (beyond the basic definitions). I was hoping to apply the dimension theory of local Noetherian rings (Tag 00K4) to the graded non-Noetherian setting. But even if there is a finitely generated ideal of definition, we cannot use it to compute the dimension: it seems that this method really relies on $\mathfrak m$ being finitely generated (see e.g. the discussion after Def 10.58.1). | |
| Dec 13, 2016 at 7:49 | history | edited | dorebell | CC BY-SA 3.0 |
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| Dec 1, 2016 at 10:03 | history | asked | dorebell | CC BY-SA 3.0 |