• Corpus ID: 119166185

Chow Groups of Abelian Varieties and Beilinson's Conjecture

  title={Chow Groups of Abelian Varieties and Beilinson's Conjecture},
  author={Bogdan Zavyalov},
  journal={arXiv: Algebraic Geometry},
  • 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. 

Lectures On The Mordell-Weil Theorem

Contents: Heights - Nomalized heights - The Mordell-Weil theorem - Mordell's conjecture - Local calculation of normalized heights - Siegel's method - Baker's method - Hilbert's irreducibility theorem

Abelian Varieties, Lecture notes

  • 2008