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Shimura subgroups of Jacobians of Shimura curves
Given an indefinite quaternion algebra of reduced discriminant D and an integer N relatively prime to D, one can construct Shimura curves Sh0(N, D) and Sh1(N, D), which are analogues of X0(N) and X1(N). The natural morphism ...
Projective covering designs
A (2, k, v) covering design is a pair (X, F) such that X is a v-element set and F is a family of k-element subsets, called blocks, of X with the property that every pair of distinct elements of X is contained in at least ...
Congruences between cusp forms and the geometry of Jacobians of modular curves
Abstract not available in fulltext.