منابع مشابه
Modular Diagonal Quotient Surfaces
Notes: 1) The modular diagonal quotient surfaces as defined above may be viewed as a special case of the general diagonal quotient surfaces studied in Kani/Schanz[7]. 2) The inclusions of subsgroups {1} ≤ ∆αε ≤ G × G induce finite morphisms (both of degree m = |G|) YN Φ → ZN,ε Ψ → Y1 ' P × P. Moreover, by using Shimura’s canonical model X(N)/Q, it can be shown that all these varieties have cano...
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The main objective of this paper is to analyze the geometry of the modular diagonal quotient surface ZN,ε = ∆ε\(X(N) × X(N)) which classifies pairs of elliptic curves E1 and E2 together with an isomorphism of “determinant ε” between their associated modular representations mod N . In particular, we calculate some of the numerical invariants of its minimal desingularization Z̃N,ε such as its Bett...
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In this paper we introduce a new approach to defining quotient types in type theory. We suggest replacing the existing monolithic rule set by a modular set of rules for a specially chosen set of primitive operations. This modular formalization of quotient types turns out to be very powerful and free of many limitations of the traditional monolithic formalization. To illustrate the advantages of...
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If ƒ is a homomorphism of the group G, and if g is an isomorphism of the image group G, then f g is a homomorphism of G too ; and this homomorphism is an isomorphism if, and only if, ƒ is an isomorphism. Consequently the following three properties of the group G imply each other. (1) Homomorphisms of G upon isomorphic groups are isomorphisms. (2) Homomorphisms of G upon itself are isomorphisms....
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1974
ISSN: 0019-2082
DOI: 10.1215/ijm/1256051228