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Definability of mixed period maps
dc.contributor.author | BAKKER, Benjamin | |
hal.structure.identifier | Centre National de la Recherche Scientifique [CNRS] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | BRUNEBARBE, Yohan | |
hal.structure.identifier | Humboldt-Universität zu Berlin = Humboldt University of Berlin = Université Humboldt de Berlin [HU Berlin] | |
dc.contributor.author | KLINGLER, Bruno | |
dc.contributor.author | TSIMERMAN, Jacob | |
dc.date.accessioned | 2024-04-04T02:48:20Z | |
dc.date.available | 2024-04-04T02:48:20Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191730 | |
dc.description.abstractEn | We equip integral graded-polarized mixed period spaces with a natural $\mathbb{R}_{alg}$-definable analytic structure, and prove that any period map associated to an admissible variation of integral graded-polarized mixed Hodge structures is definable in $\mathbb{R}_{an,exp}$ with respect to this structure. As a consequence we reprove that the zero loci of admissible normal functions are algebraic. | |
dc.language.iso | en | |
dc.title.en | Definability of mixed period maps | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
dc.subject.hal | Mathématiques [math]/Logique [math.LO] | |
dc.identifier.arxiv | 2006.12403 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-03064630 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-03064630v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BAKKER,%20Benjamin&BRUNEBARBE,%20Yohan&KLINGLER,%20Bruno&TSIMERMAN,%20Jacob&rft.genre=preprint |
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