2001

最新文章

• irrationality of an infinite number of values for the zeta function with odd integers AI翻译
  作者：Ball, K; Rivoal, T
  作者单位：University of London; University College London; Universite de Caen Normandie
• On the moduli space of diffeomorphic algebraic surfaces AI翻译
  作者：Manetti, M
  作者单位：Sapienza University Rome
  摘要：In this paper we show that the number of deformation types of complex structures on a fixed smooth oriented four-manifold can be arbitrarily large. The examples that we consider in this paper are locally simple abelian covers of rational surfaces. The proof involves the algebraic description of rational blowdowns, classical Brill-Noether theory and deformation theory of normal flat abelian covers.
• Valuation-like maps and the congruence subgroup property AI翻译
  作者：Rapinchuk, AS; Segev, Y
  作者单位：University of Virginia; Ben-Gurion University of the Negev
  摘要：Let D be a finite dimensional division algebra and N a subgroup of finite index in DX. A valuation-like map on N is a homomorphism psi: N --> T from N to a (not necessarily abelian) linearly ordered group T satisfying N<-alpha + 1 subset of or equal to N<-alpha for some nonnegative alpha is an element of T such that N<-alpha not equal 0 where N<-alpha = {x is an element of N / psi (x) < -alpha}. We show that this implies the existence of a nontrivial valuation v of D with respect to which N is...
• Uniform bounds and symbolic powers on smooth varieties AI翻译
  作者：Ein, L; Lazarsfeld, R; Smith, KE
  作者单位：University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital; University of Michigan System; University of Michigan
• A fixed point formula of Lefschetz type in Arakelov geometry I:: statement and proof AI翻译
  作者：Köhler, K; Roessler, D
  作者单位：University of Bonn; Universite Paris Cite
  摘要：We consider arithmetic varieties endowed with an action of the group scheme of n-th roots of unity and we define equivariant arithmetic K-0-theory for these varieties. We use the equivariant analytic torsion to define direct image maps in this context and we prove a Riemann-Roch theorem for the natural transformation of equivariant arithmetic K-0-theory induced by the restriction to the fixed point scheme; this theorem can be viewed as an analog, in the context of Arakelov geometry, of the reg...
• Bounded geometry for Kleinian groups AI翻译
  作者：Minsky, YN
  作者单位：State University of New York (SUNY) System; Stony Brook University
  摘要：We show that a Kleinian surface group, or hyperbolic 3-manifold with a cusp-preserving homotopy-equivalence to a surface, has bounded geometry if and only if there is an upper bound on an associated collection of coefficients that depend only on its end invariants. Bounded geometry is a positive lower bound on the lengths of closed geodesics. When the Surface is a once-punctured torus, the coefficients coincide with the continued fraction coefficients associated to the ending laminations.
• The stable mapping class group and Q (CP+∞) AI翻译
  作者：Madsen, I; Tillmann, U
  作者单位：Aarhus University; University of Oxford
  摘要：In [T2] it was shown that the classifying space of the stable mapping class groups after plus construction Z x B Gamma (+)(infinity) has an infinite loop space structure. This result and the tools developed in [BM] to analyse transfer maps, are used here to show the following splitting theorem. Let Sigma (infinity)(CP+infinity)(p)(Lambda) similar or equal to E(0)nu (...)nuE(p-2) be the Adams-splitting of the p-completed suspension spectrum of CP+infinity. Then for some infinite loop space W-p,...
• Elliptic spectra, the Witten genus and the theorem of the cube AI翻译
  作者：Ando, M; Hopkins, MJ; Strickland, NP
  作者单位：University of Illinois System; University of Illinois Urbana-Champaign; Massachusetts Institute of Technology (MIT); University of Sheffield
• Localization and universality of Poisson statistics for the multidimensional Anderson model at weak disorder AI翻译
  作者：Wang, WM
  作者单位：Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
  摘要：lWe prove Anderson localization with the mean-field Lyapunov exponent and Poisson statistics for eigenvalue spacing for the multi-dimensional Anderson model at weak disorder. These results are obtained by developing the supersymmetric formalism initiated in [W1] (see also [SjW]).
• Ricci curvature, minimal volumes, and Seiberg-Witten theory AI翻译
  作者：LeBrun, C
  作者单位：State University of New York (SUNY) System; Stony Brook University
  摘要：We derive new, sharp lower bounds for certain curvature functionals on the space of Riemannian metrics of a smooth compact 4-manifold with non-trivial Seiberg-Witten invariants. These allow one, for example, to exactly compute the infimum of the L-2-norm of Ricci curvature for any complex surface of general type. We are also able to show that the standard metric on any complex-hyperbolic 4-manifold minimizes volume among all metrics satisfying a point-wise lower bound on sectional curvature pl...