Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/197441
Title: | Bounds of the number of rational maps between varieties of general type |
Author: | Naranjo del Val, Juan Carlos Pirola, G.P. |
Keywords: | Geometria biracional Teoria de Hodge Superfícies algebraiques Birational geometry Hodge theory Algebraic surfaces |
Issue Date: | 2007 |
Publisher: | Johns Hopkins University Press |
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. |
Note: | Reproducció del document publicat a: https://doi.org/10.1353/ajm.2007.0040 |
It is part of: | American Journal of Mathematics, 2007, vol. 129, num. 6, p. 1689-1709 |
URI: | http://hdl.handle.net/2445/197441 |
Related resource: | https://doi.org/10.1353/ajm.2007.0040 |
ISSN: | 0002-9327 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
554612.pdf | 316.85 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.