Does there exist a curve of degree 11 having 15 triple points? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T14:41:13Z http://mathoverflow.net/feeds/question/98438 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/98438/does-there-exist-a-curve-of-degree-11-having-15-triple-points Does there exist a curve of degree 11 having 15 triple points? Jérémy Blanc 2012-05-30T23:43:58Z 2013-04-05T11:22:00Z <p>Does there exist an irreducible curve of degree 11 in the projective plane which would have 15 triple points? </p> <p>For information, such a curve would be rational, if it exists, and would be smooth at all other points (compute the genus with the classical formula: $(d-1)(d-2)/2-\sum a_i(a_i-1)/2=45-3\cdot 15=0$)</p> http://mathoverflow.net/questions/98438/does-there-exist-a-curve-of-degree-11-having-15-triple-points/98439#98439 Answer by Igor Rivin for Does there exist a curve of degree 11 having 15 triple points? Igor Rivin 2012-05-30T23:52:47Z 2012-05-30T23:52:47Z <p>This seems to be study in <a href="http://arxiv.org/pdf/1104.1755v1.pdf" rel="nofollow">this paper by O. Dumitrescu</a> (which I did not read in detail, but it seems quite algorithmic).</p>