Hodge cycles on abelian varieties associated to the complete binary trees
type: Item
instance of: scholarly article
title: Hodge cycles on abelian varieties associated to the complete binary trees
zbMATH Open document ID: 1117.14013
author: Fumio Hazama
published in: Journal of the Mathematical Society of Japan
publication date: 2006-03-29T00:00:00Z
review text: This paper is an investigation of the structure of the ring of Hodge cycles on a complex abelian variety \(A\) of CM-type, where the CM-field \(K\) is Galois over \(\mathbb Q\) with Galois group isomorphic to \(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2^n\mathbb{Z}\). The author constructs all degenerate CM-types for \(K\), and enumerates the Hodge cycles on the associated abelian varieties. These results are obtained as applications of combinatorial results on complete binary trees.
reviewed by: Salman Abdulali
Mathematics Subject Classification ID: 14C30
Mathematics Subject Classification ID: 11G10
Mathematics Subject Classification ID: 06A11
zbMATH DE Number: 5015989
zbMATH Keywords: Hodge cycle
zbMATH Keywords: abelian variety
zbMATH Keywords: binary tree
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/1145287093
OpenAlex ID: W1979738876
DOI: 10.2969/JMSJ/1145287093
description: scientific article; zbMATH DE number 5015989