Project MUSE®: American Journal of Mathematics - Latest Articles
http://muse.jhu.edu/journal/5
Project MUSE®: Latest articles in American Journal of Mathematics.daily12018-01-21T00:00:00-05:00text/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®Energy dispersed solutions for the (4 + 1)-dimensional Maxwell-Klein-Gordon equation
http://muse.jhu.edu/article/683724
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This article is devoted to the mass-less energy critical Maxwell-Klein-Gordon system in 4 + 1 dimensions. In earlier work of the second author, joint with Krieger and Sterbenz, we have proved that this problem has global well-posedness and scattering in the Coulomb gauge for small initial data. This article is the second of a sequence of three papers of the authors, whose goal is to show that the same result holds for data with arbitrarily large energy. Our aim here is to show that large data solutions persist for as long as one has small energy dispersion; hence failure of global well-posedness must be accompanied with a non-trivial energy dispersion.
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Project MUSE®http://muse.jhu.edu/2018-01-21T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallEnergy dispersed solutions for the (4 + 1)-dimensional Maxwell-Klein-Gordon equation2018-01-13text/htmlen-USThe Johns Hopkins University PressEnergy dispersed solutions for the (4 + 1)-dimensional Maxwell-Klein-Gordon equation2018-01-132018TWOProject MUSE®300042018-01-21T00:00:00-05:002018-01-13The Langlands-Shahidi L-Functions for Brylinski-Deligne Extensions
http://muse.jhu.edu/article/683725
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We firstly discuss properties of the L-groups for Brylinski-Deligne extensions of split reductive groups constructed by M. Weissman. Secondly, the Gindikin-Karpelevich formula for an arbitrary Brylinski-Deligne extension is computed and expressed in terms of naturally defined elements of the group. Following this, we show that the Gindikin-Karpelevich formula can be interpreted as Langlands-Shahidi type L-functions associated with the adjoint action of the L-group for the Levi covering subgroup on certain Lie algebras. As a consequence, the constant term of Eisenstein series for Brylinski-Deligne extensions could be expressed in terms of global (partial) Langlands-Shahidi type L-functions. These L-functions are
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Project MUSE®http://muse.jhu.edu/2018-01-21T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallThe Langlands-Shahidi L-Functions for Brylinski-Deligne Extensions2018-01-13text/htmlen-USThe Johns Hopkins University PressThe Langlands-Shahidi L-Functions for Brylinski-Deligne Extensions2018-01-132018TWOProject MUSE®295372018-01-21T00:00:00-05:002018-01-13On the analyticity of CR-diffeomorphisms
http://muse.jhu.edu/article/683726
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In any positive CR-dimension and CR-codimension we provide a construction of real-analytic embedded CR-structures, which are C∞ CR-equivalent, but are inequivalent holomorphically.
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Project MUSE®http://muse.jhu.edu/2018-01-21T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallOn the analyticity of CR-diffeomorphisms2018-01-13text/htmlen-USThe Johns Hopkins University PressOn the analyticity of CR-diffeomorphisms2018-01-132018TWOProject MUSE®592872018-01-21T00:00:00-05:002018-01-13Kähler-Ricci flow with unbounded curvature
http://muse.jhu.edu/article/683727
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Let g(t) be a smooth complete solution to the Ricci flow on a noncompact manifold such that g(0) is Kähler. We prove that if |Rm(g(t))|g(t) is bounded by a/t for some a> 0, then g(t) is Kähler for t> 0. We prove that there is a constant a(n) > 0 depending only on n such that the following is true: Suppose g(t) is a smooth complete solution to the Kähler-Ricci flow on a non-compact n-dimensional complex manifold such that g(0) has nonnegative holomorphic bisectional curvature and |Rm(g(t))|g(t) ≤ a(n)/t, then g(t) has nonnegative holomorphic bisectional curvature for t> 0. These generalize the results by Wan-Xiong Shi. As applications, we prove that (i) any complete noncompact Kähler manifold with nonnegative
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Project MUSE®http://muse.jhu.edu/2018-01-21T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallKähler-Ricci flow with unbounded curvature2018-01-13text/htmlen-USThe Johns Hopkins University PressKähler-Ricci flow with unbounded curvature2018-01-132018TWOProject MUSE®318432018-01-21T00:00:00-05:002018-01-13On Iwahori-Hecke algebras for p-adic loop groups: double coset basis and Bruhat order
http://muse.jhu.edu/article/683728
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We study the p-adic loop group Iwahori-Hecke algebra constructed by Braverman, Kazhdan, and Patnaik and give positive answers to two of their conjectures. First, we algebraically develop the “double coset basis” of given by indicator functions of double cosets. We prove a generalization of the Iwahori-Matsumoto formula, and as a consequence, we prove that the structure coefficients of the double coset basis are polynomials in the order of the residue field. The basis is naturally indexed by a semi-group on which Braverman, Kazhdan, and Patnaik define a preorder. Their preorder is a natural generalization of the Bruhat order on affine Weyl groups, and they conjecture that the preorder is a partial order. We
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Project MUSE®http://muse.jhu.edu/2018-01-21T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallOn Iwahori-Hecke algebras for p-adic loop groups: double coset basis and Bruhat order2018-01-13text/htmlen-USThe Johns Hopkins University PressOn Iwahori-Hecke algebras for p-adic loop groups: double coset basis and Bruhat order2018-01-132018TWOProject MUSE®171542018-01-21T00:00:00-05:002018-01-13Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture
http://muse.jhu.edu/article/683729
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Let p be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for an infinite class of one-dimensional non-abelian p-adic Lie extensions. Crucially, this result does not depend on the vanishing of the relevant Iwasawa μ-invariant.
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Project MUSE®http://muse.jhu.edu/2018-01-21T00:00:00-05:00http://muse.jhu.edu/journal/5/image/coversmallHybrid Iwasawa algebras and the equivariant Iwasawa main conjecture2018-01-13text/htmlen-USThe Johns Hopkins University PressHybrid Iwasawa algebras and the equivariant Iwasawa main conjecture2018-01-132018TWOProject MUSE®398102018-01-21T00:00:00-05:002018-01-13