Spans of special cycles of codimension less than 5
Raum, Martin
In: Journal für die reine und angewandte Mathematik (Crelles Journal), 2016, vol. 2016, no. 718, p. 39-57
Ajouter à la liste personnelle- Summary
- We show that the span of special cycles in the r-th Chow group of a Shimura variety of orthogonal type is finite dimensional, if r < 5 ${r<5}$ . As our main tool, we develop the theory of Jacobi forms with rational index M ∈ Mat N ( ℚ ) ${M\in\mathrm{Mat}_{N}(\mathbb{Q})}$ .