RT Journal Article
T1 Inflectional loci of scrolls over smooth, projective varieties
A1 Lanteri, Antonio
A1 Mallavibarrena Martínez de Castro, Raquel
A1 Piene, Ragni
AB Let X subset of P-N be a scroll over an m-dimensional variety Y. We find the locally free sheaves on X governing the osculating behavior of X, and, under certain dimension assumptions, we compute the cohomology class and the degree of the inflectional locus of X. The case m = 1 was treated in [9]. Here we treat the case m >= 2, which is more complicated for at least two reasons: the expression for the osculating sheaves and the computations of the class of the inflectional locus become more complex, and the dimension requirements needed to ensure validity of the formulas are more severe.
PB Indiana University
SN 0022-2518
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/43838
UL https://hdl.handle.net/20.500.14352/43838
NO MiUR of the Italian Government
NO University of Milano
NO NILS Project
NO Spanish Ministry of Education
DS Docta Complutense
RD 7 abr 2026