Timeline for Picard/cohomology lattice of surfaces of low degree in $\mathbb P^3$
Current License: CC BY-SA 3.0
2 events
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| Mar 30, 2012 at 17:59 | comment | added | Dmitry Kerner | Thanks! It seems I need to understand the structure of $H^{1,1}(S_d)\cap H^2(S_d,\mathbb{Z})$. (I'm in the algebraic situation, so I need the Neron-Severi group.) As $S_d$ is simply connected the signature of $$H^{1,1}(S_d)$ is $(1,\frac{(d−1)(2d2−4d+3)}{3})$, but I still can't understand how to compute (where to read about) the lattice structure of $H^{1,1}(S_d)\cap H^2(S_d,\mathbb{Z})$, at least for d=4,5 | |
| Mar 29, 2012 at 16:44 | history | answered | Johannes Nordström | CC BY-SA 3.0 |