1期

最新文章

• Rigidity for pseudo pretheories AI翻译
  作者：Rosenschon, Andreas; Ostvaer, Paul Arne
  作者单位：State University of New York (SUNY) System; University at Buffalo, SUNY; University of Alberta; University of Oslo
  摘要：Assume F is a homotopy invariant pseudo pretheory with torsion values and X is a smooth scheme of finite type over a field k. We show for certain field extensions k subset of K the map F(X) --> F(X-K ) is an isomorphism.
• Anosov flows, surface groups and curves in projective space AI翻译
  作者：Labourie, Francois
  作者单位：Universite Paris Saclay
• Weak approximation over function fields AI翻译
  作者：Hassett, B; Tschinkel, Y
  作者单位：Rice University
  摘要：We prove that rationally connected varieties over the function field of a complex curve satisfy weak approximation for places of good reduction.
• Unstable products of smooth curves AI翻译
  作者：Ross, J.
  作者单位：Columbia University
  摘要：We give examples of smooth manifolds with negative first Chern class which are slope unstable with respect to certain polarisations, and so have Kahler classes that do not admit any constant scalar curvature Kahler metrics. These manifolds also have unstable Hilbert and Chow points. We compare this to the work of Song-Weinkove on the J-flow.
• Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szego asymptotics AI翻译
  作者：Damanik, David; Simon, Barry
  作者单位：California Institute of Technology
  摘要：We provide necessary and sufficient conditions for a Jacobi matrix to produce orthogonal polynomials with Szego asymptotics off the real axis. A key idea is to prove the equivalence of Szego asymptotics and of Jost asymptotics for the Weyl solution. We also prove L-2 convergence of Szego asymptotics on the spectrum.
• Hyperbolic manifolds with convex boundary AI翻译
  作者：Schlenker, JM
  作者单位：Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Centre National de la Recherche Scientifique (CNRS)
  摘要：Let (M, partial derivative M) be a 3-manifold, which carries a hyperbolic metric with convex boundary. We consider the hyperbolic metrics on M such that the boundary is smooth and strictly convex. We show that the induced metrics on the boundary are exactly the metrics with curvature K >-1, and that the third fundamental forms of partial derivative M are exactly the metrics with curvature K < 1, for which the closed geodesics which are contractible in M have length L > 2 pi. Each is obtained e...
• Perfect forms and the moduli space of abelian varieties AI翻译
  作者：Shepherd-Barron, NI
  作者单位：University of Cambridge
• Minima of Epstein's Zeta function and heights of flat tori AI翻译
  作者：Sarnak, Peter; Strombergsson, Andreas
  作者单位：Institute for Advanced Study - USA; Princeton University; Uppsala University
• Diophantine approximation on planar curves: the convergence theory AI翻译
  作者：Vaughan, R. C.; Velani, S.
  作者单位：Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; University of York - UK
  摘要：The convergence theory for the set of simultaneously psi-approximable points lying on a planar curve is established. Our results complement the divergence theory developed in [1] and thereby completes the general metric theory for planar curves.
• Projective modules over smooth real affine varieties AI翻译
  作者：Bhatwadekar, M.; Das, Mrinal Kanti; Mandal, Satya
  作者单位：Tata Institute of Fundamental Research (TIFR); University of Kansas