Height Pairing on Higher Cycles and Mixed Hodge Structures II
Algebraic Geometry
2025-11-05 v2
Abstract
We attach a mixed Hodge structure and associate two versions of heights to a pair of Bloch higher cycles. Both these heights generalize the biextension height attached to a pair of classical algebraic cycles homologous to zero. We also prove several salient properties of these heights.
Keywords
Cite
@article{arxiv.2410.17167,
title = {Height Pairing on Higher Cycles and Mixed Hodge Structures II},
author = {J. I. Burgos Gil and S. Goswami and G. Pearlstein},
journal= {arXiv preprint arXiv:2410.17167},
year = {2025}
}
Comments
Amended version of an earlier submission with revision