American Journal of Mathematics articles

Recent articles from American Journal of Mathematics

On a conjecture of Shimura concerning periods of Hilbert modular forms.
August 1, 1995... Introduction. In this paper, we shall give an affirmative answer to an essential part of the conjecture of Shimura on P-invariants of Hilbert modular forms. Let F be a totally real algebraic number field of degree n and [J.sub.F] be the set of all isomorphisms of F into C. Let [F.sub.A]...

Teichmuller modular forms of degree 3.
August 1, 1995... Introduction. Teichmuller modular forms (of degree g) are introduced in [Ic2] as global sections of automorphic line bundles on the moduli space of algebraic curves (of genus g). A fundamental problem is to study the structure of the rings of Teichmuller modular forms. By restricting to the...

Geometric residue theorems.
August 1, 1995... O. Introduction. Roughly speaking, residue theorems in geometry are results which associate topological invariants to the singularities of geometric objects. The discovery and use of such theorems has a history dating back at least to Riemann. A classical example is Hopf's theorem relating...

On multiplicative Galois structure invariants.
August 1, 1995... Introduction. Let N/K be a finite Galois extension of number fields of group G. Let [K.sub.0](Z[G]) denote the Grothendieck group of finitely generated projective (left) Z[G]-modules, with Cl(Z[G]) the subgroup of elements which have rank 0. In [C1] Chinburg used the four term exact sequences...

Approximation in compact Nash manifolds.
August 1, 1995... Introduction. Let [Mathematical Expression Omitted] be a compact Nash manifold, [Mathematical Expression Omitted] its sheaf of germs of Nash functions and [Mathematical Expression Omitted] its sheaf of germs of analytic functions. Also, we consider the rings [Mathematical Expression Omitted]...