Inventiones mathematicae

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• A correction to Epp's paper Elimination of wild ramification AI翻译
  作者：Kuhlmann, FV
  作者单位：University of Saskatchewan
  摘要：We fill a gap in the proof of one of the central theorems in Epp's paper, concerning p-cyclic extensions of complete discrete valuation rings. In his famous paper [1], Epp considers the following situation: S and R are two discrete valuation rings such that (1) S dominates R, and (2) if the characteristic p of the residue field of S is not zero, then its largest perfect subfield is separable and algebraic over the residue field of R. He proves that then, there exists a discrete valuation ring ...
• On the equivariant Tamagawa number conjecture for Tate motives AI翻译
  作者：Burns, D; Greither, C
  作者单位：University of London; King's College London; Bundeswehr University Munich
  摘要：Let L be a finite abelian extension of Q and let K be any subfield of L. For each integer r with rless than or equal to0 we prove the Equivariant Tamagawa Number Conjecture for the pair (h(0)(Spec(L))(r), Z[1/2][Gal(L/K)]).
• Homotopy equivalences of p-completed classifying spaces of finite groups AI翻译
  作者：Broto, C; Levi, R; Oliver, B
  作者单位：Autonomous University of Barcelona; University of Aberdeen
  摘要：We study homotopy equivalences of p-completions of classifying spaces of finite groups. To each finite group G and each prime p, we associate a finite category L-p(c)(G) with the following properties. Two p-completed classifying spaces BG((p) over cap) and BG'(p) over cap have the same homotopy type if and only if the associated categories L-p(c)(G) and L-p(c)(G') are equivalent. Furthermore, the topological monoid Aut(BG((p) over cap)) of self equivalences is determined by the self equivalenc...
• Geometric characterizations of Gromov hyperbolicity AI翻译
  作者：Balogh, ZM; Buckley, SM
  作者单位：University of Bern; Maynooth University
  摘要：We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring-Hayman property and a separation condition.
• Stable maps and Quot schemes AI翻译
  作者：Popa, M; Roth, M
  作者单位：Harvard University; University of Michigan System; University of Michigan
• Isomorphic Steiner symmetrization AI翻译
  作者：Klartag, MB; Milman, VD
  作者单位：Tel Aviv University
  摘要：This paper proves that there exist 3n Steiner symmetrizations that transform any convex set K subset of R-n into an isomorphic Euclidean ball; i.e. if vol(K)=vol(D-n) where D-n is the standard Euclidean unit ball, then K can be transformed into a body (K) over tilde such that c(1)D(n) subset of (K) over tilde c(2)D(n), where c(1), c(2) are numerical constants. Moreover, for any c>2, cn symmetrizations are also enough.
• Gamma homology, Lie representations and E∞ multiplications AI翻译
  作者：Robinson, A
  作者单位：University of Warwick
  摘要：We prove that the stable homotopy of any Gamma-module F is the homology of a bicomplex Xi(F), in which the (q - 1)st row is the two-sided bar construction B(Lie(q)*, Sigma(q), F[q]). This gives a natural homotopical cotangent bicomplex for graded commutative algebras, in a form suitable for use in a new obstruction theory for classifying E-infinity ring structures on spectra. The E-infinity structure on certain Lubin-Tate spectra is a corollary.
• Minimal entropy and collapsing with curvature bounded from below AI翻译
  作者：Paternain, GP; Petean, J
  作者单位：University of Cambridge; CIMAT - Centro de Investigacion en Matematicas
  摘要：We show that if a closed manifold M admits an F-structure (not necessarily polarized, possibly of rank zero) then its minimal entropy vanishes. In particular, this is the case if M admits a non-trivial S-1 -action. As a corollary we obtain that the simplicial volume of a manifold admitting an F-structure is zero. We also show that if M admits an F-structure then it collapses with curvature bounded from below. This in turn implies that M collapses with bounded scalar curvature or, equivalently,...
• Symplectic resolutions for nilpotent orbits AI翻译
  作者：Fu, BH
  作者单位：Universite Cote d'Azur; Centre National de la Recherche Scientifique (CNRS)
  摘要：In this paper, firstly we calculate Picard groups of a nilpotent orbit O in a classical complex simple Lie algebra and discuss the properties of being Q-factorial and factorial for the normalization (O) over tilde of the closure of O. Then we consider the problem of symplectic resolutions for (O) over tilde. Our main theorem says that for any nilpotent orbit O in a semi-simple complex Lie algebra, equipped with the Kostant-Kirillov symplectic form omega, if for a resolution pi : Z --> (O) over...
• Some groups of type VF AI翻译
  作者：Leary, IJ; Nucinkis, BEA
  作者单位：University of Southampton; Swiss Federal Institutes of Technology Domain; ETH Zurich
  摘要：A group is of type VF if-it hag a finite-index subgroup which has a finite classifying space. We construct groups of type VF in which the centralizers of some elements of finite order are not of type VF and groups of type VF containing infinitely many conjugacy classes of finite subgroups. It follows that a group G of type VF need not admit a finite-type universal proper G-space. We construct groups G for which the minimal dimension of a universal proper G-space is strictly greater than the vi...