Timeline for Surjective and injective criteria via Hilbert polynomials
Current License: CC BY-SA 3.0
4 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Nov 12, 2012 at 10:33 | comment | added | Qing Liu | Under you assumption, $\mathcal M$ is supported in a closed finite subset of $X$. There is a surjective homomorphism $O_X\to M$ if and only if for all $x\in X$, $\dim_{\mathbb C}(M/\mathfrak m_x M)\le 1$. | |
Nov 12, 2012 at 10:20 | comment | added | Nima | Thank you for the answer. I will think about what extra condition we need in the first case. Please let me know if you know any reasonable condition. | |
Nov 12, 2012 at 10:17 | vote | accept | Nima | ||
Nov 12, 2012 at 10:11 | history | answered | Qing Liu | CC BY-SA 3.0 |