CLASS NUMBERS OF CM ALGEBRAIC TORI, CM ABELIAN VARIETIES AND COMPONENTS OF UNITARY SHIMURA VARIETIES
نویسندگان
چکیده
منابع مشابه
Moduli of CM abelian varieties
We discuss CM abelian varieties in characteristic zero, and in positive characteristic. An abelian variety over a finite field is a CM abelian variety, as Tate proved. Can it be CM-lifted to characteristic zero? Does there exist an abelian variety of dimension g > 3 not isogenous with the Jacobian of an algebraic curve? Can we construct algebraic curves, say over C, where the Jacobian is a
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2020
ISSN: 0027-7630,2152-6842
DOI: 10.1017/nmj.2020.31