invertible sheaf
A sheaf of modules on a ringed space is called if there is another sheaf of -modules such that . A sheaf is invertible if and only if it is locally free of rank 1, and its inverse is the sheaf , by the map.
The set of invertible sheaves form an abelian group under tensor multiplication, called the Picard group of .
Title | invertible sheaf |
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Canonical name | InvertibleSheaf |
Date of creation | 2013-03-22 13:52:34 |
Last modified on | 2013-03-22 13:52:34 |
Owner | Mathprof (13753) |
Last modified by | Mathprof (13753) |
Numerical id | 8 |
Author | Mathprof (13753) |
Entry type | Definition |
Classification | msc 14A99 |