Collected Papers I: 1954 – 1966
In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement for his "important and extensive work on arithmetical geometry and automorphic forms." His seminal work has resulted in the "many notations in number theory that carry his name and that have long been familiar to workers in the field." These 4 volumes contain 103 of his most important papers, beginning in 1954 and continuing up through the present.
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algebra over Q algebraic extension algebraic number field algebriques analytic assertion assume automorphic forms automorphic functions biregular class-field coefficients component condition consider contained corps corresponding courbe curve cusp D'apres degre degree denote dimension division algebra divisor domain easily verify endomorphism entiers equivalent exists an element exists an isomorphism extension fibre system field of definition field of moduli finite number generique genus Hence hermitian holomorphic hyperplane invariant involution irreducible isogeny isomorphism isomorphisme Lemma Let F Let Q linearly disjoint locus Math matrices maximal lattices maximal order meromorphic modular morphism non-degenerate notation o-ideal obtain p-variety PEL-structure polarized abelian variety polynomial positive integer positive involution prime ideal prime number proof Prop Proposition prove quaternion algebra quotient r-lattice rapport reduction modulo representation resp respect Riemann form satisfying Soient specialization subfield subgroup Suppose Theorem theory transformation variete abelienne variety defined vector space