Project MUSE®: American Journal of Mathematics - Latest Articles
http://muse.jhu.edu/journal/5
Project MUSE®: Latest articles in Africa Today.daily12016-07-24T00:00:00-05:00text/htmlen-USThe Johns Hopkins University PressVol. 118 (1996) through current issueLatest Articles: American Journal of MathematicsTWOProject MUSE®American Journal of Mathematics1080-63770002-9327Latest articles in American Journal of Mathematics. Feed provided by Project MUSE®Boundary value problems for first order elliptic wedge operators
http://muse.jhu.edu/article/619397
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We develop an elliptic theory based in L2 of boundary value problems for general wedge differential operators of first order under only mild assumptions on the boundary spectrum. In particular, we do not require the indicial roots to be constant along the base of the boundary fibration. Our theory includes as a special case the classical theory of elliptic boundary value problems for first order operators with and without the Shapiro-Lopatinskii condition, and can be thought of as a natural extension of that theory to the geometrically and analytically relevant class of wedge operators. Wedge operators arise in the global analysis on manifolds with incomplete edge singularities. Our theory settles, in the first
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Project MUSE®http://muse.jhu.edu/2016-07-24T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallBoundary value problems for first order elliptic wedge operators2016-05-24text/htmlen-USThe Johns Hopkins University PressBoundary value problems for first order elliptic wedge operatorsBoundary value problems2016-05-242016TWOProject MUSE®349572016-07-24T00:00:00-05:002016-05-24Contragredient representations and characterizing the local Langlands correspondence
http://muse.jhu.edu/article/619398
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We consider the question: what is the contragredient in terms of L-homomorphisms? We conjecture that it corresponds to the Chevalley automorphism of the L-group, and prove this in the case of real groups. The proof uses a characterization of the local Langlands correspondence over R. We also consider the related notion of Hermitian dual, in the case of
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Project MUSE®http://muse.jhu.edu/2016-07-24T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallContragredient representations and characterizing the local Langlands correspondence2016-05-24text/htmlen-USThe Johns Hopkins University PressContragredient representations and characterizing the local Langlands correspondenceBoundary value problems2016-05-242016TWOProject MUSE®191992016-07-24T00:00:00-05:002016-05-24Bounding scalar curvature for global solutions of the Kähler-Ricci flow
http://muse.jhu.edu/article/619399
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We show that the scalar curvature is uniformly bounded for the normalized Kähler-Ricci flow on a Kähler manifold with semi-ample canonical bundle. In particular, the normalized Kähler-Ricci flow has long time existence if and only if the scalar curvature is uniformly bounded, for Kähler surfaces, projective manifolds of complex dimension three, and for projective manifolds of all dimensions if assuming the abundance
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Project MUSE®http://muse.jhu.edu/2016-07-24T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallBounding scalar curvature for global solutions of the Kähler-Ricci flow2016-05-24text/htmlen-USThe Johns Hopkins University PressBounding scalar curvature for global solutions of the Kähler-Ricci flowBoundary value problems2016-05-242016TWOProject MUSE®214482016-07-24T00:00:00-05:002016-05-24Torsion points and the Lattès family
http://muse.jhu.edu/article/619400
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We give a dynamical proof of a result of Masser and Zannier: for any a ≠ b ∈ \{0,1}, there are only finitely many parameters t ∈ for which points Pa=(a,a(a−1)(a−t)) and Pb=(b,b(b−1)(b−t)) are both torsion on the Legendre elliptic curve Et = {y2 = x(x−1)(x−t)}. Our method also gives the finiteness of parameters t where both Pa and Pb have small Néron-Tate height. A key ingredient in the proof is an arithmetic equidistribution theorem on ℙ1. For this, we prove two statements about the degree-4 Lattès family ft on ℙ1: (1) for each c ∈ (t), the bifurcation measure μc for the pair (ft,c) has continuous potential across the singular parameters t = 0,1,∞; and (2) for distinct points a,b ∈ \ {0,1}, the bifurcation
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Project MUSE®http://muse.jhu.edu/2016-07-24T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallTorsion points and the Lattès family2016-05-24text/htmlen-USThe Johns Hopkins University PressTorsion points and the Lattès familyBoundary value problems2016-05-242016TWOProject MUSE®264672016-07-24T00:00:00-05:002016-05-24Quantitative uniqueness of elliptic equations
http://muse.jhu.edu/article/619401
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Based on a variant of frequency function, we improve the vanishing order of solutions for Schrödinger equations which describes quantitative behavior of strong uniqueness continuation property. For the first time, we investigate the quantitative uniqueness of higher order elliptic equations and show the vanishing order of solutions. Furthermore, strong unique continuation is established for higher order elliptic equations using this variant of frequency
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Project MUSE®http://muse.jhu.edu/2016-07-24T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallQuantitative uniqueness of elliptic equations2016-05-24text/htmlen-USThe Johns Hopkins University PressQuantitative uniqueness of elliptic equationsBoundary value problems2016-05-242016TWOProject MUSE®242482016-07-24T00:00:00-05:002016-05-24Weight two motivic cohomology of classifying spaces for semisimple groups
http://muse.jhu.edu/article/619402
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Let f : X → Y be a torsor for a semisimple group G with Y a smooth and geometrically irreducible variety over an arbitrary field. We relate the ´etale motivic cohomology of weight two for X, Y and G. We also compute the ´etale motivic cohomology groups of degree at most 4 for the classifying space of G. This result was used in an another work by the author for the computation of the group of degree 3 cohomological invariants of semisimple groups with coefficients in
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Project MUSE®http://muse.jhu.edu/2016-07-24T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallWeight two motivic cohomology of classifying spaces for semisimple groups2016-05-24text/htmlen-USThe Johns Hopkins University PressWeight two motivic cohomology of classifying spaces for semisimple groupsBoundary value problems2016-05-242016TWOProject MUSE®145542016-07-24T00:00:00-05:002016-05-24Classifying crossed product C*-algebras
http://muse.jhu.edu/article/619403
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I combine recent results in the structure theory of nuclear C*-algebras and in topological dynamics to classify certain types of crossed products in terms of their Elliott invariants. In particular, transformation group C*-algebras associated to free minimal ℤd-actions on the Cantor set with compact space of ergodic measures are classified by their ordered K-theory. In fact, the respective statement holds for finite dimensional compact metrizable spaces, provided that projections of the crossed products separate tracial states. Moreover, C*-algebras associated to certain minimal homeomorphisms of spheres S2n+1 are only determined by their spaces of invariant Borel probability measures (without a condition on the
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Project MUSE®http://muse.jhu.edu/2016-07-24T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallClassifying crossed product C*-algebras2016-05-24text/htmlen-USThe Johns Hopkins University PressClassifying crossed product C*-algebrasBoundary value problems2016-05-242016TWOProject MUSE®340852016-07-24T00:00:00-05:002016-05-24A formula for the derivative of the p-adic L-function of the symmetric square of a finite slope modular form
http://muse.jhu.edu/article/619404
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Let f be a modular form of weight k and Nebentypus ψ. By generalizing a construction of Dabrowski and Delbourgo, we construct a p-adic L-function interpolating the special values of the L-function L(s,Sym2(f)⊗ξ), where ξ is a Dirichlet character. When s = k −1 and ξ = ψ−1, this p-adic L-function vanishes due to the presence of a so-called trivial zero. We give a formula for the derivative at s = k − 1 of this p-adic L-function when the form f is Steinberg at p. If the weight of f is even, the conductor is even and squarefree, and the Nebentypus is trivial this formula implies a conjecture of
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Project MUSE®http://muse.jhu.edu/2016-07-24T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallA formula for the derivative of the p-adic L-function of the symmetric square of a finite slope modular form2016-05-24text/htmlen-USThe Johns Hopkins University PressA formula for the derivative of the p-adic L-function of the symmetric square of a finite slope modular formBoundary value problems2016-05-242016TWOProject MUSE®500672016-07-24T00:00:00-05:002016-05-24