Configurations of conics with many tacnodes
Megyesi, Gábor
Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 555-577 / Harvested from Project Euclid
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We investigate configurations of conics in the projective plane which have the property that the number of tacnodes is equal or close to the upper bound obtained from the Miyaoka-Yau inequality. We show that for 5 conics there are exactly 3 configurations, including 2 new ones, achieving the maximum 17 tacnodes, and for 6 conics the maximum number of tacnodes is 22, which together with previous results implies that the Miyaoka-Yau bound can never be achieved.
Publié le : 2000-05-14
Classification:  14N05,  14N25 
@article{1178207755,
     author = {Megyesi, G\'abor},
     title = {Configurations of conics with many tacnodes},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 555-577},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207755}
}

Megyesi, Gábor. Configurations of conics with many tacnodes. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  555-577. http://gdmltest.u-ga.fr/item/1178207755/