Dataciencia

Colección SciELO Chile

THE DISTRIBUTION OF GALOIS ORBITS OF POINTS OF SMALL HEIGHT IN TORIC VARIETIES

Indexado

WoS

WOS:000460615200002

DOI

Año

2019

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

We generalize the Bogomolov problem by asking when a closed subvariety of the principal orbit of a proper toric variety that has the same essential minimum than the ambient variety, must be a translate of a subtorus. We prove that the generalized Bogomolov problem has a positive answer for monocritical toric metrized divisors, and we give several examples of toric metrized divisors for which the Bogomolov problem has a negative answer.

Revista

Revista	ISSN
American Journal Of Mathematics	0002-9327

Disciplinas de Investigación

WOS
Mathematics

Scopus
Sin Disciplinas

SciELO
Sin Disciplinas

Muestra la distribución de disciplinas para esta publicación.

Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

Muestra la distribución de colaboración, tanto nacional como extranjera, generada en esta publicación.

Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Burgos Gil, Jose Ignacio	Hombre	UAM - España
2	Philippon, Patrice	Hombre	Inst Math Jussieu - Francia
3	RIVERA-LETELIER, JUAN EDUARDO	Hombre	Univ Rochester - Estados Unidos
4	Sombra, Martin	Hombre	ICREA - España Univ Barcelona - España

Muestra la afiliación y género (detectado) para los co-autores de la publicación.

Financiamiento

Fuente
FONDECYT
MINECO
NSF
CNRS
ANR
FP7-MC-IRSES project

Muestra la fuente de financiamiento declarada en la publicación.

Agradecimientos

Agradecimiento
Research of the first author supported in part by the MINECO research projects MTM2013-42135-P, MTM2016- 79400-P and ICMAT Severo Ochoa SEV-2015-0554; research of the second author supported in part by the CNRS research project PICS 6381 "Geometrie diophantienne et calcul formel" and the ANR research project "Hauteurs, modularite, transcendance"; research of the first and second authors supported also in part by the FP7-MC-IRSES project no. 612534 "MODULI"; research of the third author supported in part by FONDECYT grant 1141091 and NSF grant DMS-1700291; research of the fourth author supported in part by the MINECO research projects MTM2012-38122-C03-02 and MTM2015-65361-P and through the "Maria de Maeztu" program for units of excellence MDM-2014-0445.

Agradecimiento

Research of the first author supported in part by the MINECO research projects MTM2013-42135-P, MTM2016- 79400-P and ICMAT Severo Ochoa SEV-2015-0554; research of the second author supported in part by the CNRS research project PICS 6381 "Geometrie diophantienne et calcul formel" and the ANR research project "Hauteurs, modularite, transcendance"; research of the first and second authors supported also in part by the FP7-MC-IRSES project no. 612534 "MODULI"; research of the third author supported in part by FONDECYT grant 1141091 and NSF grant DMS-1700291; research of the fourth author supported in part by the MINECO research projects MTM2012-38122-C03-02 and MTM2015-65361-P and through the "Maria de Maeztu" program for units of excellence MDM-2014-0445.