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arXiv · 2311.17381

Indecomposable cycles and the case of the twisted Hodge D conjecture

Karim Mansour
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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.

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Karim Mansour. 2023-11-29. Indecomposable cycles and the case of the twisted Hodge D conjecture. https://arxiv.org/abs/2311.17381

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