English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We prove that the existence of an automorphism of finite order on a (definedover a number field) variety X implies the existence of algebraic linearrelations between the logarithm of certain periods of X and the logarithm ofspecial values of the Gamma-function. This implies that a slight variation ofresults by Anderson, Colmez and Gross on the periods of CM abelian varieties isvalid for a larger class of CM motives.  In particular, we prove a weak form of the period conjecture ofGross-Deligne.  Our proof relies on the arithmetic fixed point formula (equivariantarithmetic Riemann-Roch theorem) proved by K. Koehler and the second author,and the vanishing of the equivariant analytic torsion for the Dolbeaultcomplex.

On the periods of motives with complex multiplication and a conjecture of Gross–Deligne