English

Spans of special cycles of codimension less than 5

Number Theory 2013-04-04 v2 Algebraic Geometry

Abstract

We show that the span of special cycles in the rrth Chow group of a Shimura variety of orthogonal type is finite dimensional, if r<5r < 5. As our main tool, we develop the theory of Jacobi forms with rational index M\MatN(\QQ)M \in \Mat{N}(\QQ).

Keywords

Cite

@article{arxiv.1302.1451,
  title  = {Spans of special cycles of codimension less than 5},
  author = {Martin Raum},
  journal= {arXiv preprint arXiv:1302.1451},
  year   = {2013}
}

Comments

18 pages