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Inflectional loci of scrolls

Authors :
Lanteri, Antonio
Mallavibarrena Martínez de Castro, Raquel
Piene, Ragni
Lanteri, Antonio
Mallavibarrena Martínez de Castro, Raquel
Piene, Ragni
Publication Year :
2023

Abstract

Let X⊂PN be a scroll over a smooth curve C and let L=OPN(1)|X denote the hyperplane bundle. The special geometry of X implies that certain sheaves related to the principal part bundles of 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.<br />Depto. de Álgebra, Geometría y Topología<br />Fac. de Ciencias Matemáticas<br />TRUE<br />pub

Details

Database :
OAIster
Notes :
application/pdf, 0025-5874, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1413946632
Document Type :
Electronic Resource