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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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License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 12 Jul 2022 04:37


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 ...

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