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DC Field | Value | Language |
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dc.contributor.author | Burgos Gil, José I. | - |
dc.contributor.author | Sombra, Martín | - |
dc.date.accessioned | 2020-07-14T08:27:57Z | - |
dc.date.available | 2020-07-14T08:27:57Z | - |
dc.date.issued | 2019-10-01 | - |
dc.identifier.issn | 0373-0956 | - |
dc.identifier.uri | http://hdl.handle.net/2445/168550 | - |
dc.description.abstract | Let L be an ample line bundle on a smooth projective variety $X$ over a non-archimedean field $K$. For a continuous metric on $L^{\text {an }},$ we show In the following two cases that the semipositive envelope is a continuous semipositive metric on $L^{\text {an }}$ and that the non-archimedean Monge-Ampère equation has a solution. First, we prove it for curves using results of Thuillier. Second, we show it under the assumption that $X$ is a surface defined geometrically over the function field of a curve over a perfect field $k$ of positive characteristic. The second case holds in higher dimensions if we assume resolution of singularities over $k .$ The proof follows a strategy from Boucksom, Favre and Jonsson, replacing multiplier ideals by test ideals. Finally, the appendix by Burgos and Sombra provides an example of a semipositive metric whose retraction is not semipositive. The example is based on the construction of a toric variety which has two SNC-models which induce the same skeleton but different retraction maps. | - |
dc.format.extent | 9 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Association des Annales de l'Institut Fourier | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.5802/aif.3296 | - |
dc.relation.ispartof | Annales de l'Institut Fourier, 2019, vol. 69, num. 5, p. 2364-2372 | - |
dc.relation.uri | https://doi.org/10.5802/aif.3296 | - |
dc.rights | (c) Association des Annales de l'Institut Fourier, 2019 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions de diverses variables complexes | - |
dc.subject.classification | Àlgebra commutativa | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.other | Functions of several complex variables | - |
dc.subject.other | Commutative algebra | - |
dc.subject.other | Algebraic geometry | - |
dc.title | Appendix to the paper by W. Gubler, Ph. Jell, K. Künnemann and F. Martin, Continuity of plurisubharmonic envelopes in non-archimedean geometry and test ideals | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 702670 | - |
dc.date.updated | 2020-07-14T08:27:57Z | - |
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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702670.pdf | 3.23 MB | Adobe PDF | View/Open |
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