show · all knowls · up · search:

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.

Knowl status:
  • Review status: beta
  • Last edited by John Jones on 2017-11-06 16:01:09
Referred to by:
History: (expand/hide all)