American Journal of Mathematics articles from June 1995

American Journal of Mathematics archives from June 1995

A compactness property for solutions of the Ricci flow.
June 1, 1995... 1. In this paper we prove that, given a sequence of complete solutions to the Ricci flow with their curvatures uniformly bounded above and their injectivity radii uniformly bounded below, we can find a convergent subsequence. To make this...

Hyperbolicity of the complements of plane algebraic curves.
June 1, 1995... 1. Introduction. Hyperbolic manifolds have been studied in complex analysis as the generalizations of hyperbolic Riemann surfaces to higher dimensions. Moreover, the theory of hyperbolic manifolds is closely related to other areas (cf., e.g....

On Ext to the 2nd of motives over arithmetic curves.
June 1, 1995... 0. Introduction. In this note we give yet another piece of evidence for the thesis that number theory is geometry. For a number field k consider the category [MM.sub.k] of mixed motives over k constructed by Jannsen [J] and Deligne [De1]. In...

Positive polynomials for filtered ample vector bundles.
June 1, 1995... 1. Introduction. In [4] Lazarsfeld and the author proved that the polynomials in the Chern classes of a vector bundle that are positive whenever the bundle is ample are exactly those polynomials that are positive linear combinations of the...

Koebe uniformization for 'almost circle domains.'
June 1, 1995... 1. Introduction. In a recent paper [HS], we have proved the Koebe uniformization conjecture for countably connected domains: Any domain in the Riemann sphere [Mathematical Expression Omitted] with countably many boundary components is...

The action of the Morava stabilizer group on the Lubin-Tate moduli space of lifts.
June 1, 1995... Introduction. The purpose of this paper is indicated by its title. Namely, for each prime number p, there is a certain canonical one-dimensional (commutative) height n formal group law [[Gamma].sub.n] defined over [F.sub.p] and hence over...

Size estimates for eigenvalues of singular integral operators and Schrodinger operators and for derivatives of quasiconformal mappings.
June 1, 1995... 1. Introduction and summary. For many classes of singular integral operators acting on [L.sup.2]([R.sup.d]) very precise information is known about the distribution of eigenvalues ([RS2], [K], [S1], [JP], [P], [BS]). Much less is known about...

One fixed point actions and homology 3-spheres.
June 1, 1995... One of the best known three-dimensional manifolds is the Poincare homology three-sphere [Sigma](2, 3, 5); this closed 3-manifold has the same homology groups as the standard sphere [S.sup.3] but is not simply connected (see [Pnc, p. 106] or...