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http://hdl.handle.net/2445/196340
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DC Field | Value | Language |
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dc.contributor.author | Busé, Laurent | - |
dc.contributor.author | Cid Ruiz, Yairon | - |
dc.contributor.author | D'Andrea, Carlos, 1973- | - |
dc.date.accessioned | 2023-03-31T07:04:44Z | - |
dc.date.available | 2023-03-31T07:04:44Z | - |
dc.date.issued | 2020-05-02 | - |
dc.identifier.issn | 0024-6115 | - |
dc.identifier.uri | http://hdl.handle.net/2445/196340 | - |
dc.description.abstract | We give formulas and effective sharp bounds for the degree of multi-graded rational maps and provide some effective and computable criteria for birationality in terms of their algebraic and geometric properties. We also extend the Jacobian dual criterion to the multi-graded setting. Our approach is based on the study of blow-up algebras, including syzygies, of the ideal generated by the defining polynomials of the rational map. A key ingredient is a new algebra that we call the saturated special fiber ring, which turns out to be a fundamental tool to analyze the degree of a rational map. We also provide a very effective birationality criterion and a complete description of the equations of the associated Rees algebra of a particular class of plane rational maps. | - |
dc.format.extent | 45 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Oxford University Press | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1112/plms.12336 | - |
dc.relation.ispartof | Proceedings of the London Mathematical Society, 2020, vol. 121, num. 4, p. 743-787 | - |
dc.relation.uri | https://doi.org/10.1112/plms.12336 | - |
dc.rights | (c) London Mathematical Society, 2020 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Anells commutatius | - |
dc.subject.classification | Geometria biracional | - |
dc.subject.classification | Homologia | - |
dc.subject.other | Commutative rings | - |
dc.subject.other | Birational geometry | - |
dc.subject.other | Homology | - |
dc.title | Degree and birationality of multi-graded rational maps | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 699147 | - |
dc.date.updated | 2023-03-31T07:04:44Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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699147.pdf | 558.73 kB | Adobe PDF | View/Open |
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