kapranov's realization of $\overline{M}_{0,n}$ over other fields - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-18T23:54:57Z http://mathoverflow.net/feeds/question/109472 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/109472/kapranovs-realization-of-overlinem-0-n-over-other-fields kapranov's realization of $\overline{M}_{0,n}$ over other fields IMeasy 2012-10-12T17:05:27Z 2012-10-12T19:56:13Z <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#109485 Answer by Dan Petersen for kapranov's realization of $\overline{M}_{0,n}$ over other fields Dan Petersen 2012-10-12T19:56:13Z 2012-10-12T19:56:13Z <p>It seems to me Kapranov's methods are purely algebraic and that his description works verbatim over $\mathrm{Spec}(\mathbf Z)$. </p>