| dc.creator | Walsh, Miguel Nicolás | |
| dc.date.accessioned | 2021-10-15T18:32:15Z | |
| dc.date.accessioned | 2022-10-15T02:22:05Z | |
| dc.date.available | 2021-10-15T18:32:15Z | |
| dc.date.available | 2022-10-15T02:22:05Z | |
| dc.date.created | 2021-10-15T18:32:15Z | |
| dc.date.issued | 2020-11 | |
| dc.identifier | Walsh, Miguel Nicolás; The polynomial method over varieties; Springer; Inventiones Mathematicae; 222; 2; 11-2020; 469-512 | |
| dc.identifier | 0020-9910 | |
| dc.identifier | http://hdl.handle.net/11336/143908 | |
| dc.identifier | CONICET Digital | |
| dc.identifier | CONICET | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4334582 | |
| 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.language | eng | |
| dc.publisher | Springer | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s00222-020-00975-6 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00222-020-00975-6 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1811.07865 | |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Polynomial method | |
| dc.subject | Real algebraic geometry | |
| dc.subject | Incidence geometry | |
| dc.subject | Milnor-Thom | |
| 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 | |
