可分解涡卷的密切性质
Osculating properties of decomposable scrolls
摘要：
本文系统地利用Piene和Sacchiero在有理正规涡卷的设置中引入的一个思想，研究了可分解涡卷的密切空间（任意亏格，不一定正规），并将其拐点轨迹与其母曲线的拐点轨迹联系起来.在这个更广泛的设置额外的组件的第二个判别轨迹-来自弯曲-进行了研究和一类新的未弯曲的表面涡卷提出和表征。进一步的性质有关密切讨论（不一定可分解）卷轴。
英文摘要：
Osculating spaces of decomposable scrolls (of any genus and not necessarily normal)are studied and their inflectional loci are related to those of their generating curves by using systematically an idea introduced by Piene and Sacchiero in the setting of rational normal scrolls. In this broader setting the extra components of the second discriminant locus - deriving from flexes - are investigated and a new class of uninflected surface scrolls is presented and characterized. Further properties related to osculation are discussed for (not necessarily decomposable) scrolls.
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