IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
The inverse sieve problem for algebraic varieties over global fields
Autor/es:
JUAN MANUEL MENCONI; ROMÁN SASYK; MARCELO PAREDES
Revista:
REVISTA MATEMATICA IBEROAMERICANA
Editorial:
UNIV AUTONOMA MADRID
Referencias:
Lugar: Madrid; Año: 2020
ISSN:
0213-2230
Resumen:
Let K be a global field and let Z be a geometrically irreducible algebraic variety defined over K. We show that if a big set S⊆Z of rational points of bounded height occupies few residue classes modulo p for many prime ideals p, then a positive proportion of S must lie in the zero set of a polynomial of low degree that does not vanish at Z. This generalizes a result of Walsh who studied the case when S⊆{0,...,N}^d.
