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dc.contributor.authorBAKKER, Benjamin
hal.structure.identifierCentre National de la Recherche Scientifique [CNRS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBRUNEBARBE, Yohan
hal.structure.identifierHumboldt-Universität zu Berlin = Humboldt University of Berlin = Université Humboldt de Berlin [HU Berlin]
dc.contributor.authorKLINGLER, Bruno
dc.contributor.authorTSIMERMAN, Jacob
dc.date.accessioned2024-04-04T02:48:20Z
dc.date.available2024-04-04T02:48:20Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191730
dc.description.abstractEnWe 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.isoen
dc.title.enDefinability of mixed period maps
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.subject.halMathématiques [math]/Logique [math.LO]
dc.identifier.arxiv2006.12403
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03064630
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03064630v1
bordeaux.COinSctx_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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