On the osculatory behavior of surface scrolls

  • Antonio Lanteri
Keywords: Surface (projective), hyperplane section, osculating spaces, scroll

Abstract

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.
Published
2002-08-01
Section
Articoli