Timeline for Is there an analytic criterion for quasi-compactness of a scheme?
Current License: CC BY-SA 3.0
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| Oct 2, 2016 at 16:09 | comment | added | nfdc23 | It seems unlikely. Analytification is compatible with the formation of irreducible components (analytic theory of which is developed in the book "Coherent Analytic Sheaves") as well as the underlying reduced space and normalization (by excellence) and smooth locus. Thus, a necessary condition is that $X^{\rm{an}}$ has only finitely many irreducible components, in which case by passing to the smooth locus in connected components of the normalization the task reduces to the smooth connected case. Alas, that seems no easier. But is there an actual context where such a criterion would be useful? | |
| Oct 2, 2016 at 14:13 | history | edited | Justin | CC BY-SA 3.0 |
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| Oct 2, 2016 at 12:11 | history | edited | Justin | CC BY-SA 3.0 |
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| Oct 2, 2016 at 8:31 | history | edited | Justin | CC BY-SA 3.0 |
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| Oct 2, 2016 at 8:25 | review | First posts | |||
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| Oct 2, 2016 at 8:20 | history | asked | Justin | CC BY-SA 3.0 |