Special cycles on unitary Shimura varieties II: global theory

Details Special cycles on unitary Shimura varieties II: global theory Special cycles on unitary Shimura varieties II: global theory

2009-12-18

arxiv.org/abs/0912.3758v1

Mathematics

Algebraic Geometry

Scientific paper

We introduce moduli spaces of abelian varieties which are arithmetic models of Shimura varieties attached to unitary groups of signature (n-1, 1). We define arithmetic cycles on these models and study their intersection behaviour. In particular, in the non-degenerate case, we prove a relation between their intersection numbers and Fourier coefficients of the derivative at s=0 of a certain incoherent Eisenstein series for the group U(n, n). This is done by relating the arithmetic cycles to their formal counterpart from Part I via non-archimedean uniformization, and by relating the Fourier coefficients to the derivatives of representation densities of hermitian forms. The result then follows from the main theorem of Part I and a counting argument.

Affiliated with

Also associated with

No associations

Rating

Special cycles on unitary Shimura varieties II: global theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Special cycles on unitary Shimura varieties II: global theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Special cycles on unitary Shimura varieties II: global theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-350160