Associated to a motive are vector spaces coming from cohomology of an algebraic variety. The dimension of these vector spaces is the degree of the motive.
For a hypergeometric motive with defining parameters $A=[a_1,\ldots,a_m]$, $B=[b_1,\ldots,b_n]$, the degree is the common value \[ \sum_{j=1}^m \phi(a_j) = \sum_{j=1}^n \phi(b_j)\] where $\phi$ is the Euler totient function.
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- Last edited by John Jones on 2017-11-06 16:01:09
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