Shimura Curves Lecture Notes 11: Integral Structures, Genera and Class Numbers
نویسنده
چکیده
1. Formulae for genera, volumes, class numbers Throughout these notes, we shall use D to denote the product of an even number (possibly zero) of distinct primes, and D′ the product of an odd number of distinct primes. Thus D (resp. D′) is the discriminant of a unique indefinite (resp. definite) rational quaternion algebra B/Q of discriminant D (resp. D′). Recall that the discriminant map induces a bijection from the set of isomorphism classes of rational quaternion algebras over Q to the set of squarefree positive integers.
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