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An application of reduced unit groups of quaternion orders
发布时间:2018-04-10     点击次数:
报告题目: An application of reduced unit groups of quaternion orders
报 告 人: 余家富 研究员 (中研院数学所)
报告时间: 2018年04月11日 17:00--18:00
报告地点: 理学院东北楼二楼报告厅(209)
报告摘要:

 An abelian variety over a field k of characteristic p>0 is called supersingular if it is isogenous over the algebraic closure of k to the self product of a supersingular elliptic curve.   We explain how the classification of the reduced unit groups of maximal orders in certain totally definite quaternion algebras enables us to construct supersingular abelian surfaces whose endomorphism algebra is the real quadratic field  Q(sqrt{p}). 

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