kapranov's realization of $\overline{M}_{0,n}$ over other fields - MathOverflow most recent 30 from http://mathoverflow.net2013-05-18T23:54:57Zhttp://mathoverflow.net/feeds/question/109472http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/109472/kapranovs-realization-of-overlinem-0-n-over-other-fieldskapranov's realization of $\overline{M}_{0,n}$ over other fieldsIMeasy2012-10-12T17:05:27Z2012-10-12T19:56:13Z
<p>Kapranov gave a very nice desciption, over $\mathbb{C}$ of the moduli space of stable pointed rational curves $\overline{M}_{0,n}$ as a series of blow-ups of $P^{n-3}$. Does this, or a similar result, hold over other fields? e.g. positive characteristic, non algebraically closed, etc.</p>
<p>ps
I am afraid one could only dream of this, over non alg closed fields...</p>
http://mathoverflow.net/questions/109472/kapranovs-realization-of-overlinem-0-n-over-other-fields/109485#109485Answer by Dan Petersen for kapranov's realization of $\overline{M}_{0,n}$ over other fieldsDan Petersen2012-10-12T19:56:13Z2012-10-12T19:56:13Z<p>It seems to me Kapranov's methods are purely algebraic and that his description works verbatim over $\mathrm{Spec}(\mathbf Z)$. </p>