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Results tagged with torsion
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user 4428
3
votes
Torsion theory for quasi-coherent sheaves?
Yes, it is still a torsion theory (by the way, you forget to mention the condition that each object $A$ can be represented as an extension $0 \to T(A) \to A \to F(A) \to 0$). … To show you just take $T(A)$ to be the union of all torsion subsheaves of $A$. A similar technique is used in the paper Tarrío, Leovigildo Alonso, Ana Jeremías López, and María José Salorio. …
- 39.3k
7
votes
Accepted
First Chern class of torsion sheaves
The coefficient $r$ is equal to the length of $\mathcal{T}$ at the generic point of $Z$, so it is positive.
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