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http://hdl.handle.net/2445/197428
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DC Field | Value | Language |
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dc.contributor.author | Colombo. Elisabetta | - |
dc.contributor.author | Matin, Olivier | - |
dc.contributor.author | Naranjo del Val, Juan Carlos | - |
dc.contributor.author | Pirola, Gian Pietro | - |
dc.date.accessioned | 2023-05-02T08:57:49Z | - |
dc.date.available | 2023-06-01T05:10:35Z | - |
dc.date.issued | 2022-06-01 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.uri | http://hdl.handle.net/2445/197428 | - |
dc.description.abstract | Consider a very general abelian variety $A$ of dimension at least 3 and an integer $0<d \leq \operatorname{dim} A$. We show that if the map $A^k \rightarrow \mathrm{CH}_0(A)$ has a $d$-dimensional fiber then $k \geq d+(\operatorname{dim} A+1) / 2$. This extends results of the second-named author which covered the cases $d=1,2$. As a geometric application, we prove that any dominant rational map from a very general abelian $g$-fold to $\mathbb{P}^g$ has degree at least $(3 g+1) / 2$ for $g \geq 3$, thus improving results of Alzati and the last-named author in the case of a very general abelian variety. | - |
dc.format.extent | 19 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/10.1093/imrn/rnaa358 | - |
dc.relation.ispartof | International Mathematics Research Notices, 2022, vol. 2022, num. 11, p. 8295-8313 | - |
dc.relation.uri | https://doi.org/10.1093/imrn/rnaa358 | - |
dc.rights | (c) Colombo. Elisabetta et al., 2022 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Varietats abelianes | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.classification | Geometria biracional | - |
dc.subject.other | Abelian varieties | - |
dc.subject.other | Algebraic geometry | - |
dc.subject.other | Birational geometry | - |
dc.title | Degree of irrationality of a very general Abelian variety | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 703126 | - |
dc.date.updated | 2023-05-02T08:57:50Z | - |
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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703126.pdf | 167.45 kB | Adobe PDF | View/Open |
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