Timeline for Calculations of Pic^0, Pic, NS of surfaces
Current License: CC BY-SA 2.5
2 events
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| Sep 30, 2010 at 16:27 | comment | added | Remke Kloosterman | In the above paper the Picard lattice of a very general member of the family is computed. Although this is highly non-trivial, it is definitely easier then calculating the Picard lattice of a specific member in the family. (The OP asked for specific examples.) I.e., for a very general surface in $\mathbb{P}^3$ of degree at least 4 one has $Pic(X)=NS(X)=\mathbb{Z}$ (theorem of Noether and Lefschetz); for a concrete surface in $\mathbb{P}^3$ the calculation of $Pic(X)$ is more complicated. | |
| Sep 30, 2010 at 15:09 | history | answered | Laie | CC BY-SA 2.5 |