Artículo
Concentration estimates for algebraic intersections
Fecha de publicación:
03/04/2023
Editorial:
Johns Hopkins University Press
Revista:
American Journal Of Mathematics
ISSN:
0002-9327
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We present an approach over arbitrary fields to bound the degree of intersection of families of varieties in terms of how these concentrate on algebraic sets of smaller codimension. This provides in particular a substantial extension of the method of degree-reduction that enables it to deal efficiently with higher-dimensional problems and also with high-degree varieties. We obtain sharp bounds that are new even in the case of lines in ℝn and show that besides doubly-ruled varieties, only a certain rare family of varieties can be relevant for the study of incidence questions.
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Walsh, Miguel Nicolás; Concentration estimates for algebraic intersections; Johns Hopkins University Press; American Journal Of Mathematics; 145; 2; 3-4-2023; 435-475
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