dc.contributor.author
Naranjo del Val, Juan Carlos
dc.contributor.author
Pirola, Gian Pietro
dc.date.issued
2023-05-02T07:17:29Z
dc.date.issued
2023-05-02T07:17:29Z
dc.date.issued
2023-05-02T07:17:29Z
dc.identifier
https://hdl.handle.net/2445/197441
dc.description.abstract
We give a bound for the number of rational maps between algebraic varieties of general type under mild hypothesis on the canonical map. We use an idea inspired by Tanabe's work. Instead of attaching a morphism of Hodge structures to a rational map we simply associate to it a piece of the integral Hodge lattice. This procedure does not give an injective map, but by means of a geometric argument, we can estimate the number of maps with the same image.
dc.format
application/pdf
dc.format
application/pdf
dc.publisher
Johns Hopkins University Press
dc.relation
Reproducció del document publicat a: https://doi.org/10.1353/ajm.2007.0040
dc.relation
American Journal of Mathematics, 2007, vol. 129, num. 6, p. 1689-1709
dc.relation
https://doi.org/10.1353/ajm.2007.0040
dc.rights
(c) Johns Hopkins University Press, 2007
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Geometria biracional
dc.subject
Teoria de Hodge
dc.subject
Superfícies algebraiques
dc.subject
Birational geometry
dc.subject
Algebraic surfaces
dc.title
Bounds of the number of rational maps between varieties of general type
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
