# Mathematische Annalen (MATH ANN )

Publisher: Springer Verlag

## Description

Begründet 1868 durch Alfred Clebsch und Carl Neumann. Fortgeführt durch Felix Klein David Hilbert Otto Blumenthal Erich Hecke Heinrich Behnke Hans Grauert und Heinz Bauer.

• Impact factor
1.38
Show impact factor history

Impact factor
.
Year
• 5-year impact
1.30
• Cited half-life
0.00
• Immediacy index
0.49
• Eigenfactor
0.02
• Article influence
1.75
• Website
Mathematische Annalen website
• Other titles
Mathematische Annalen
• ISSN
0025-5831
• OCLC
1639684
• Material type
Periodical, Internet resource
• Document type
Journal / Magazine / Newspaper, Internet Resource

## Publisher details

• Pre-print
• Author can archive a pre-print version
• Post-print
• Author can archive a post-print version
• Conditions
• Authors own final version only can be archived
• Publisher's version/PDF cannot be used
• On author's website or institutional repository
• On funders designated website/repository after 12 months at the funders request or as a result of legal obligation
• Published source must be acknowledged
• Must link to publisher version
• Set phrase to accompany link to published version (The original publication is available at www.springerlink.com)
• Articles in some journals can be made Open Access on payment of additional charge
• Classification
​ green

## Publications in this journal

• ##### Article: Global W^{2,p} estimates for solutions to the linearized Monge–Ampère equations
[hide abstract]
ABSTRACT: In this paper, we establish global $W^{2,p}$ estimates for solutions to the linearized Monge–Ampère equations under natural assumptions on the domain, Monge–Ampère measures and boundary data. Our estimates are affine invariant analogues of the global $W^{2,p}$ estimates of Winter for fully nonlinear, uniformly elliptic equations, and also linearized counterparts of Savin’s global $W^{2,p}$ estimates for the Monge–Ampère equations.
Mathematische Annalen 04/2014; 358(3-4).
• ##### Article: Selmer groups over {\mathbb {Z}}_p^d-extensions
[hide abstract]
ABSTRACT: Consider an abelian variety $A$ defined over a global field $K$ and let $L/K$ be a ${\mathbb {Z}}_p^d$ -extension, unramified outside a finite set of places of $K$ , with ${{\mathrm{Gal}}}(L/K)=\Gamma$ . Let $\Lambda (\Gamma ):={\mathbb {Z}}_p[[\Gamma ]]$ denote the Iwasawa algebra. In this paper, we study how the characteristic ideal of the $\Lambda (\Gamma )$ -module $X_L$ , the dual $p$ -primary Selmer group, varies when $L/K$ is replaced by a strict intermediate ${\mathbb {Z}}_p^e$ -extension.
Mathematische Annalen 03/2014;
• ##### Article: A note on “Quasihyperbolic boundary conditions and Poincaré domains”
[hide abstract]
ABSTRACT: We establish optimal Poincaré inequalities under a logarithmic growth condition on the quasihyperbolic metric.
Mathematische Annalen 11/2013;
• ##### Article: A characterization of compact complex tori via automorphism groups
[hide abstract]
ABSTRACT: We show that a compact Kähler manifold $X$ is a complex torus if both the continuous part and discrete part of some automorphism group $G$ of $X$ are infinite groups, unless $X$ is bimeromorphic to a non-trivial $G$ -equivariant fibration. Some applications to dynamics are given.
Mathematische Annalen 11/2013;
• ##### Article: Some mixed Hodge structures on l^{2}-cohomology groups of coverings of Kähler manifolds
[hide abstract]
ABSTRACT: We give methods to compute $l^{2}$ -cohomology groups of a covering manifold obtained by removing the pullback of a normal crossing divisor to a covering of a compact Kähler manifold. We prove that in suitable quotient categories, these groups admit natural mixed Hodge structure whose graded pieces are given by the expected Gysin maps.
Mathematische Annalen 11/2013;
• Source
##### Article: Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor
[hide abstract]
ABSTRACT: The aim of this paper is to give upper bounds for the Euclidean minima of abelian fields of odd prime power conductor. In particular, these bounds imply Minkowski’s conjecture for totally real number fields of conductor $p^r$ , where $p$ is an odd prime number and $r \ge 2$ .
Mathematische Annalen 10/2013;
• Source
##### Article: Some surfaces with maximal Picard number
[hide abstract]
ABSTRACT: For a smooth complex projective variety, the rank of the N\'eron-Severi group is bounded by the Hodge number h^{1,1}. Varieties with rk NS = h^{1,1} have interesting properties, but are rather sparse, particularly in dimension 2. We discuss in this note a number of examples, in particular those constructed from curves with special Jacobians.
Mathematische Annalen 10/2013; 259(3).
• ##### Article: Bounding S(t) and S_1(t) on the Riemann hypothesis
[hide abstract]
ABSTRACT: Let $\pi S(t)$ denote the argument of the Riemann zeta-function, $\zeta (s)$ , at the point $s=\frac{1}{2}+it$ . Assuming the Riemann hypothesis, we present two proofs of the bound \begin{aligned} |S(t)| \le \left(\frac{1}{4} + o(1) \right)\frac{\log t}{\log \log t} \end{aligned} for large $t$ . This improves a result of Goldston and Gonek by a factor of 2. The first method consists of bounding the auxiliary function $S_1(t) = \int _0^{t} S(u) \> \text{ d}u$ using extremal functions constructed by Carneiro, Littmann and Vaaler. We then relate the size of $S(t)$ to the size of the functions $S_1(t\pm h)-S_1(t)$ when $h\asymp 1/\log \log t$ . The alternative approach bounds $S(t)$ directly, relying on the solution of the Beurling–Selberg extremal problem for the odd function $f(x) = \arctan \left(\frac{1}{x}\right) - \frac{x}{1 + x^2}$ . This draws upon recent work by Carneiro and Littmann.
Mathematische Annalen 09/2013; 356(3).
• Source
##### Article: Sharp regularity of linearization for $C^{1,1}$ hyperbolic diffeomorphisms
[hide abstract]
ABSTRACT: $C^1$ linearization is of special significance because it preserves smooth dynamical behaviors and distinguishes qualitative properties in characteristic directions. However, $C^1$ smoothness is not enough to guarantee $C^1$ linearization. For $C^{1,1}$ hyperbolic diffeomorphisms on Banach spaces $C^1$ linearization was proved under a gap condition together with a band condition of the spectrum. In this paper, the result of $C^1$ linearization in Banach spaces is strengthened to $C^{1,\beta}$ linearization with a constant $\beta>0$ under a weaker band condition by a decomposition with invariant foliations. The weaker band condition allows the spectrum to be a union of more than two but finitely many bands but restricts those bands to be bounded by a number depending on the supremum of contractive spectrum and the infimum of expansive spectrum. Furthermore, we give an estimate for the exponent $\beta$ and prove that the estimate is sharp in the planar case.
Mathematische Annalen 05/2013;
• Source
##### Article: Strengthening the Cohomological Crepant Resolution Conjecture for Hilbert-Chow morphisms
[hide abstract]
ABSTRACT: Given any smooth toric surface S, we prove a SYM-HILB correspondence which relates the 3-point, degree zero, extended Gromov-Witten invariants of the n-fold symmetric product stack [Sym^n(S)] of S to the 3-point extremal Gromov-Witten invariants of the Hilbert scheme Hilb^n(S) of n points on S. As we do not specialize the values of the quantum parameters involved, this result proves a strengthening of Ruan's Cohomological Crepant Resolution Conjecture for the Hilbert-Chow morphism from Hilb^n(S) to Sym^n(S) and yields a method of reconstructing the cup product for Hilb^n(S) from the orbifold invariants of [Sym^n(S)].
Mathematische Annalen 05/2013; 356(1):45-72.
• ##### Article: The Strauss conjecture on Kerr black hole backgrounds
[hide abstract]
ABSTRACT: We examine solutions to semilinear wave equations on black hole backgrounds and give a proof of an analog of the Strauss conjecture on the Schwarzschild and Kerr, with small angular momentum, black hole backgrounds. The key estimates are a class of weighted Strichartz estimates, which are used near infinity where the metrics can be viewed as small perturbations of the Minkowski metric, and a localized energy estimate on the black hole background, which handles the behavior in the remaining compact set.
Mathematische Annalen 04/2013;
• Source
##### Article: Seshadri constants and degrees of defining polynomials
[hide abstract]
ABSTRACT: In this paper, we study a relation between Seshadri constants and degrees of defining polynomials. In particular, we compute the Seshadri constants on Fano varieties obtained as complete intersections in rational homogeneous spaces of Picard number one.
Mathematische Annalen 01/2013; 358(1-2).
• ##### Article: Shintani cocycles and the order of vanishing of p-adic Hecke L-series at s=0
[hide abstract]
ABSTRACT: Let $\chi$ be a Hecke character of finite order of a totally real number field $F$ . By using Hill’s Shintani cocycle we provide a cohomological construction of the $p$ -adic $L$ -series $L_p(\chi , s)$ associated to $\chi$ . This is used to show that $L_p(\chi , s)$ has a trivial zero at $s=0$ of order at least equal to the number of places of $F$ above $p$ where the local component of $\chi$ is trivial.
Mathematische Annalen 01/2013;
• ##### Article: On the spectrum of the Laplacian
[hide abstract]
ABSTRACT: In this article we prove a generalization of Weyl’s criterion for the essential spectrum of a self-adjoint operator on a Hilbert space. We then apply this criterion to the Laplacian on functions over open manifolds and get new results for its essential spectrum.
Mathematische Annalen 01/2013;

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