Timeline for Simple sheaves, definition and characterization
Current License: CC BY-SA 3.0
2 events
| when toggle format | what | by | license | comment | |
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| Aug 15, 2011 at 12:34 | comment | added | Torsten Ekedahl | To begin with this is mostly used for proper varieties. In nay case as a definition it seems OK (though I guess some people might make some restrictions on $F$ such as being torsion free). It is definitely not equivalent to having no non-trivial subsheaves. Consider for instance a proper geometrically integral scheme over a field and the structure sheaf, it is simple in this sense but there are lots of coherent ideals (unless the scheme is zero-dimensional). | |
| Aug 15, 2011 at 12:05 | history | asked | Descartes | CC BY-SA 3.0 |