Tallennettuna:
| Päätekijät: | , |
|---|---|
| Aineistotyyppi: | Preprint |
| Julkaistu: |
2025
|
| Aiheet: | |
| Linkit: | https://arxiv.org/abs/2503.20004 |
| Tagit: |
Lisää tagi
Ei tageja, Lisää ensimmäinen tagi!
|
Sisällysluettelo:
- We study the injectivity property of certain actions of higher Chow groups on refined unramified cohomology. As an application for every $p\geq1$ and for each $d\geq p+4$ and $n\geq2,$ we establish the first examples of smooth complex projective $d$-folds $X$ such that for all $p+3\leq c\leq d-1,$ the higher Chow group $\text{CH}^{c}(X,p)$ contains infinitely many torsion cycles of order $n$ that remain linearly independent modulo $n$. Our bounds for $c$ and $d$ are also optimal. A crucial tool for the proof is morphic cohomology.