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Università Via C. Saldini, 50, I-20133 Milano, Italy E-mail address: lanteri@mat.unimi
- Publisher
- Springer Journals
- Copyright
- Copyright © 2007 by Springer-Verlag
- Subject
- Mathematics; Mathematics, general
- ISSN
- 0025-5874
- eISSN
- 1432-1823
- DOI
- 10.1007/s00209-007-0185-5
- Publisher site
- See Article on Publisher Site
Abstract
Let $$X \subset \mathbb{P}^{N}$$ be a scroll over a smooth curve C and let $$\mathcal{L}={\mathcal{O}}_{\mathbb{P}^{N}}(1)|_X$$ denote the hyperplane bundle. The special geometry of X implies that certain sheaves related to the principal part bundles of $$\mathcal{L}$$ are locally free. The inflectional loci of X can be expressed in terms of these sheaves, leading to explicit formulas for the cohomology classes of the loci. The formulas imply that the only uninflected scrolls are the balanced rational normal scrolls.
Journal
Mathematische Zeitschrift – Springer Journals
Published: May 8, 2007