Indecomposable cycles and the case of the twisted Hodge D conjecture

Fuente: arXiv
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Autore principale: Mansour, Karim
Natura: Preprint
Pubblicazione: 2023
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author Mansour, Karim
author_facet Mansour, Karim
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2311_17381
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Indecomposable cycles and the case of the twisted Hodge D conjecture
Mansour, Karim
Algebraic Geometry
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.
title Indecomposable cycles and the case of the twisted Hodge D conjecture
topic Algebraic Geometry
url https://arxiv.org/abs/2311.17381