Spans of special cycles of codimension less than 5
classification
🧮 math.NT
math.AG
keywords
cyclesspecialchowcodimensiondevelopdimensionalfiniteforms
read the original abstract
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 $r < 5$. As our main tool, we develop the theory of Jacobi forms with rational index $M \in \Mat{N}(\QQ)$.
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