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Título del libro: Singularities In Geometry, Topology, Foliations And Dynamics: A Celebration Of The 60th Birthday Of Jose Seade
Título del capítulo: Rational and Iterated Maps, Degeneracy Loci, and the Generalized Riemann-Hurwitz Formula

Autores UNAM:
SANTIAGO ALBERTO VERJOVSKY SOLA; JOSE LUIS CISNEROS MOLINA; JAWAD SNOUSSI;
Autores externos:

Idioma:

Año de publicación:
2017
Palabras clave:

Riemann-Hurwitz formula; rational maps; iterated maps; degeneracy locus; determinantal variety


Resumen:

We consider a generalized Riemann-Hurwitz formula as it may be applied to rational maps between projective varieties having an indeterminacy set and fold-like singularities. The case of a holomorphic branched covering map is recalled. Then we see how the formula can be applied to iterated maps having branch-like singularities, degree lowering curves, and holomorphic maps having a fixed point set. Separately, we consider a further application involving the Chern classes of determinantal varieties when the latter are realized as the degeneracy loci of certain vector bundle morphisms.


Entidades citadas de la UNAM: