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dc.contributor.author
Walsh, Miguel Nicolás  
dc.date.available
2021-10-15T18:32:15Z  
dc.date.issued
2020-11  
dc.identifier.citation
Walsh, Miguel Nicolás; The polynomial method over varieties; Springer; Inventiones Mathematicae; 222; 2; 11-2020; 469-512  
dc.identifier.issn
0020-9910  
dc.identifier.uri
http://hdl.handle.net/11336/143908  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Polynomial method  
dc.subject
Real algebraic geometry  
dc.subject
Incidence geometry  
dc.subject
Milnor-Thom  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The polynomial method over varieties  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2021-09-07T18:39:28Z  
dc.journal.volume
222  
dc.journal.number
2  
dc.journal.pagination
469-512  
dc.journal.pais
Alemania  
dc.description.fil
Fil: Walsh, Miguel Nicolás. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.journal.title
Inventiones Mathematicae  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s00222-020-00975-6  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00222-020-00975-6  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1811.07865  

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