Height pairing on higher cycles and mixed Hodge structures

URN to cite this document:: urn:nbn:de:bvb:355-epub-525735
DOI to cite this document:: 10.5283/epub.52573

Burgos Gil, Jose Ignacio

; Goswami, Souvik ; Pearlstein, Gregory

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Date of publication of this fulltext: 12 Jul 2022 04:37

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Abstract

For a smooth, projective complex variety, we introduce several mixed Hodge structures associated to higher algebraic cycles. Most notably, we introduce a mixed Hodge structure for a pair of higher cycles which are in the refined normalized complex and intersect properly. In a special case, this mixed Hodge structure is an oriented biextension, and its height agrees with the higher archimedean ...