show · hgm.degree 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.

Authors:
Knowl status:
• Review status: beta
• Last edited by John Jones on 2017-11-06 16:01:09
Referred to by:
History: