On the osculatory behavior of surface scrolls

Le Matematiche

关键词: Surface (projective);    hyperplane section;    osculating spaces;    scroll;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown