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A215748 Characteristic numbers of smooth plane quartics. 0

%I

%S 1,6,36,216,1296,7776,46656,279600,1668096,9840040,56481396,308389896,

%T 1530345504,6533946576,23011191144

%N Characteristic numbers of smooth plane quartics.

%C Number of curves of degree d=4 which are tangent to k lines and contain d(d+3)/2 - k points in general position in the plane.

%D H. G. Zeuthen, Almindelige Egenskaber ved Systemer af plane Kurver, Kongelige Danske Videnskabernes Selskabs Skrifter — Naturvidenskabelig og Mathematisk, 10 (1873) 285-393. Danish with French summary.

%H R. Vakil, <a href="http://cms.math.ca/cjm/v51/vakil1075.pdf">Characteristic numbers of quartic plane curves</a>, Can. J. Math. 51 (1999), no. 5, 1089--1120.

%H P. Aluffi, <a href="http://www.ams.org/journals/tran/1992-329-01/S0002-9947-1992-1041042-5/S0002-9947-1992-1041042-5.pdf">Two characteristic numbers for smooth plane curves of any degree</a>, Trans. A.M.S. 329 no. 1 (1992) 73-96.

%K fini,nonn

%O 0,2

%A _Michel Marcus_, Aug 23 2012

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Last modified September 23 08:23 EDT 2021. Contains 347610 sequences. (Running on oeis4.)