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- W4308855002 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 height pairing introduced in a previous paper by the first two authors. We also compute a non-trivial example of this height given by Bloch-Wigner dilogarithm function. Finally we study the variation of mixed Hodge structures of Hodge-Tate type, and show that the height extends continuously to degenerate situations." @default.
- W4308855002 created "2022-11-17" @default.
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- W4308855002 date "2020-07-12" @default.
- W4308855002 modified "2023-10-16" @default.
- W4308855002 title "Height Pairing on Higher Cycles and Mixed Hodge Structures" @default.
- W4308855002 doi "https://doi.org/10.48550/arxiv.2007.06036" @default.
- W4308855002 hasPublicationYear "2020" @default.
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