The aim of this paper is to show that on ℙ¹ × ℙ¹ with a polarization of type (2,1) there are no R-R expected submaximal curves through any 10 ≤ r ≤ 15 points.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-20, author = {Wioletta Syzdek}, title = {Nagata submaximal curves on P1 x P1}, journal = {Annales Polonici Mathematici}, volume = {81}, year = {2003}, pages = {223-230}, zbl = {1017.14003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-20} }
Wioletta Syzdek. Nagata submaximal curves on ℙ¹ × ℙ¹. Annales Polonici Mathematici, Tome 81 (2003) pp. 223-230. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-20/