Timeline for How can one check that two line bundles on $\overline{M}_{0,n}$ coincide?
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| Oct 10, 2011 at 8:53 | comment | added | IMeasy | Actually the two line bundles that I am considering are GIT-line bundels. That is: the map to the projective space that they induce via global sections yields a map to a GIT-compactification of $\overline{M}_{0,n}$ (non functorial compactification, due to the existence of strictily semi-stable points). Thank you for your comments! | |
| Oct 8, 2011 at 18:50 | comment | added | Arend Bayer | Your first suggestion (compare their restrictions to F-curves) seems a natural approach. Alternatively, you could use one of the explicit blow-up constructions of $\overline{M}_{0, n}$, which also produce a natural basis for $\mathrm{Pic}$. Or if they are given as linear combinations of boundary divisors, it might be most convenient to use the known explicit relations between them (which are all pull-backs of the relation "All boundary divisors on $M_{0, 4}$ have the same divisor class."). | |
| Oct 8, 2011 at 1:15 | comment | added | Kevin H. Lin | How are the line bundles presented/given to you? | |
| Oct 7, 2011 at 14:11 | history | asked | IMeasy | CC BY-SA 3.0 |