Timeline for Calculations of Pic^0, Pic, NS of surfaces
Current License: CC BY-SA 2.5
2 events
| when toggle format | what | by | license | comment | |
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| Sep 30, 2010 at 16:01 | comment | added | Laurent Moret-Bailly | Over any field, $H^1(X,\mathcal{O}_X)$ is the tangent space to $\mathrm{Pic}(X)$ (or equivalently $\mathrm{Pic}^0(X)$) at the origin. Hence, in char. zero, $h^1(X,\mathcal{O}_X)$ is the dimension of $\mathrm{Pic}^0(X)$. | |
| Sep 30, 2010 at 10:48 | history | answered | Daniel Loughran | CC BY-SA 2.5 |