• Corpus ID: 119166185

Chow Groups of Abelian Varieties and Beilinson's Conjecture

@article{Zavyalov2016ChowGO,
  title={Chow Groups of Abelian Varieties and Beilinson's Conjecture},
  author={Bogdan Zavyalov},
  journal={arXiv: Algebraic Geometry},
  year={2016}
}

• B. Zavyalov
• Published 11 December 2016
• Mathematics
• arXiv: Algebraic Geometry

In the present paper we introduce the property AA of a subsemigroup of the endomorphism semigroup of an abelian variety, which holds for semigroup of endomorphisms of an abelian variety defined over a number field, and show that the orbit of any cycle under a semigroup with property AA in the Chow group $\otimes\Q$ has finite dimensional span.