On the subring of special cycles.

For a totally real field F of degree d>1 and a quadratic space V of signature (m,2)^{d_+} x (m+2,0)^{d-d_+} with associated Shimura variety Sh(V), we consider the subring of cohomology generated by the classes of weighted special cycles. We assume that d_+

Keywords:

• Fourier series
• Cohomology
• Eisenstein series
• Combinatorics
• Mathematics
• Isomorphism
• Subring
• Positive-definite matrix
• Mathematical analysis
• Quotient
• Shimura variety

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