%0 Journal Article %T On the osculatory behavior of surface scrolls %A Antonio Lanteri %J Le Matematiche %D 2000 %I University of Catania %X A lower bound for the dimensions of the second osculating spaces to any surface scroll is given, relying on the special feature of osculating hyperplane sections to such surfaces. Moreover a class of counterexamples to the even dimensional part of a conjecture of Piene-Tai is provided. %K Surface (projective) %K hyperplane section %K osculating spaces %K scroll %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/283