2期

最新文章

• 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...
• 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...
• A new variational characterization of three-dimensional space forms AI翻译
  作者：Gursky, MJ; Viaclovsky, JA
  作者单位：Indiana University System; Indiana University Bloomington; Massachusetts Institute of Technology (MIT)
• Hurwitz numbers and intersections on moduli spaces of curves AI翻译
  作者：Ekedahl, T; Lando, S; Shapiro, M; Vainshtein, A
  作者单位：Stockholm University; Russian Academy of Sciences; Royal Institute of Technology; University of Haifa; University of Haifa
• Quiver varieties and tensor products AI翻译
  作者：Nakajima, H
  作者单位：Kyoto University
  摘要：In this article, we give geometric constructions of tensor products in various categories using quiver varieties. More precisely, we introduce a lagrangian subvariety (3) over tilde in a quiver variety. and show the following results: (1) The homology group of (3) over tilde is a representation of a symmetric Kac-Moody Lie algebra g, isomorphic to the tensor product V(lambda (1)) circle times (...)circle times V(lambda (N)) of integrable highest weight modules. (2) The set of irreducible compo...
• Construction of central elements in the affine Hecke algebra via nearby cycles AI翻译
  作者：Gaitsgory, D
  作者单位：Harvard University
• Continuous family of invariant subspaces for R-diagonal operators AI翻译
  作者：Sniady, P; Speicher, R
  作者单位：University of Wroclaw; Queens University - Canada
  摘要：We show that every R-diagonal operator x has a continuous family of invariant subspaces relative to the von Neumann algebra generated by x. This allows us to find the Brown measure of x and to find a new conceptual proof that Voiculescu's S-transform is multiplicative. Our considerations base on a new concept of R-diagonality with amalgamation, for which we give several equivalent characterizations.