ON SEGRE NUMBERS OF HOMOGENEOUS MAP GERMS
Nenhuma Miniatura disponível
Data
2016-01-01
Autores
Callejas-Bedregal, R.
Morgado, M. F. Z. [UNESP]
Saia, M. J.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Matematisk Inst
Resumo
Segre numbers and Segre cycles of ideals were independently introduced by Tworzewski, by Achilles and Manaresi and by Gaffney and Gassler. They are generalization of the Le numbers and Le cycles, introduced by Massey. In this article we give Le-Iomdine type formulas for these cycles and numbers of arbitrary ideals. As a consequence we give a Plucker type formula for the Segre numbers of ideals generated by weighted homogeneous functions, in terms of their weights and degree. As an application of these results, we compute, in a purely combinatorial manner, the Segre numbers of the ideal which defines the critical loci of a map germ defined by a sequence of central hyperplane arrangements in Cn+1.
Descrição
Palavras-chave
Como citar
Mathematica Scandinavica. Aarhus: Matematisk Inst, v. 118, n. 2, p. 303-319, 2016.