Hodge Cycles on Abelian Varieties with Complex Multiplication by Cyclic CM-Fields

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概要

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• For any cyclic CM-fields of degree 2pq with p, q distinct odd primes, we determine which CM-types among 2^{pq} ones give rise to degenerate abelian varieties and in what codimension nondivisorial Hodge cycles exist on them.

• 東京大学の論文

著者

• Hazama Fumio

  Departmant Of Natural Sciences College Of Science And Engineering Tokyo Denki University

関連論文

• Discrete Tomography through Distribution Theory
• Hodge cycles on abelian varieties associated to the complete binary trees
• Hodge Cycles on Abelian Varieties with Complex Multiplication by Cyclic CM-Fields
• Geometric analogue of the Mumford-Tate Conjecture for stably non-degenerate abelian varieties (A note on Mustafin's paper)
• Discrete tomography and Hodge cycles
• On the General Hodge Conjecture for Abelian Varieties of CM-type

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