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arXiv:1302.1451 [math.NT]AbstractReferencesReviewsResources

Spans of special cycles of codimension less than 5

Martin Raum

Published 2013-02-06, updated 2013-04-02Version 2

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 $M \in \Mat{N}(\QQ)$.

Comments: 18 pages
Categories: math.NT, math.AG
Subjects: 14C15, 11F50, 11F30
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