Artículo
The polynomial method over varieties
Fecha de publicación:
11/2020
Editorial:
Springer
Revista:
Inventiones Mathematicae
ISSN:
0020-9910
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We establish sharp estimates that adapt the polynomial method to arbitrary varieties. These include a partitioning theorem, estimates on polynomials vanishing on fixed sets and bounds for the number of connected components of real algebraic varieties. As a first application, we provide a general incidence estimate that is tight in its dependence on the size, degree and dimension of the varieties involved.
Palabras clave:
Polynomial method
,
Real algebraic geometry
,
Incidence geometry
,
Milnor-Thom
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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; The polynomial method over varieties; Springer; Inventiones Mathematicae; 222; 2; 11-2020; 469-512
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