Abelian differentials and their periods: the bi-algebraic point of view

Abstract

We study the transcendence of periods of abelian differentials, both at the arithmetic and functional level, from the point of view of the natural bi-algebraic structure on strata of abelian differentials. We characterise geometrically the arithmetic points, study their distribution, and prove that in many cases the bi-algebraic curves are the linear ones.

Cited by in corpus (1)

• Bi-algebraic geometry of strata of differentials in genus zero