Indecomposable cycles and the case of the twisted Hodge D conjecture
Algebraic Geometry
2024-02-23 v2
Abstract
We will introduce twisted cycles and their associated regulators to cohomology. We prove the conjecture that this regulator is surjective for a general smooth projective surface. We construct indecomposable twisted cycles on elliptic fourfolds, and use that to show that this map is non-zero.
Keywords
Cite
@article{arxiv.2311.17381,
title = {Indecomposable cycles and the case of the twisted Hodge D conjecture},
author = {Karim Mansour},
journal= {arXiv preprint arXiv:2311.17381},
year = {2024}
}