RT Journal Article
T1 New analytical and geometrical aspects of the algebraic multiplicity
A1 López-Gómez, Julián
A1 Sampedro Pascual, Juan Carlos
AB This paper reveals some new analytical and geometrical properties of the generalized algebraic multiplicity, χ, introduced in [7], [5] and further developed in [15], [17], [18]. In particular, it establishes a completely new connection between χ and the concept of local intersection index of algebraic varieties, a central device in Algebraic Geometry. This link between Nonlinear Spectral Theory and Algebraic Geometry provides to χ with a deep geometrical meaning. Moreover, χ is characterized through the new notion of local determinant of the Schur operator associated to the linear path.
PB Elsevier
SN 0022-247X
YR 2021
FD 2021-05-26
LK https://hdl.handle.net/20.500.14352/7288
UL https://hdl.handle.net/20.500.14352/7288
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Gobierno Vasco
DS Docta Complutense
RD 10 abr 2025