Timeline for Why are Stein manifolds/spaces the analog of affine varieties/schemes in algebraic geometry?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| May 25, 2019 at 13:45 | comment | added | Donu Arapura | OK, but I'll leave the comment, since not everyone would understand the hidden assumptions. | |
| May 25, 2019 at 13:38 | comment | added | ssx | @DonuArapura this was understood... on the scheme side you are also not going to consider sheaves which are not even $\mathcal{O}_X$-modules or which have no finiteness properties. | |
| May 25, 2019 at 13:29 | comment | added | Donu Arapura | There is no way to be completely tactful here; the vanishing condition is for coherent analytic coefficients only. It is certainly not true for all coefficients, e.g. $X= \mathbb{C}^*$ and cohomology with coefficients in $\mathbb{Z}$ is not zero, but $X$ is Stein. | |
| May 22, 2019 at 16:12 | history | answered | ssx | CC BY-SA 4.0 |