IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
The polynomial method over varieties
Autor/es:
WALSH, MIGUEL N.
Revista:
INVENTIONES MATHEMATICAE
Editorial:
SPRINGER
Referencias:
Año: 2020
ISSN:
0020-9910
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.
