# Mathematische Annalen (MATH ANN)

Publisher: Springer Verlag

## Journal 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 Rankings

2016 Impact Factor Available summer 2017 1.13 1.201 1.378 1.297 1.092 1.198 1.027 0.877 0.902 0.828 0.79 0.954 0.755 0.691 0.683 0.596 0.587 0.595 0.672 0.749 0.512 0.543 0.493

## Impact factor over time

Impact factor
.
Year

5-year impact 1.35 >10.0 0.18 0.02 2.13 Mathematische Annalen website Mathematische Annalen 0025-5831 1639684 Periodical, Internet resource 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
• Author's pre-print on pre-print servers such as arXiv.org
• Author's post-print on author's personal website immediately
• Author's post-print on any open access repository after 12 months after publication
• Publisher's version/PDF cannot be used
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• Articles in some journals can be made Open Access on payment of additional charge
• Classification
green

## Publications in this journal

• ##### Article: Gaussian bounds and parabolic Harnack inequality on locally irregular graphs
Martin T. Barlow · Xinxing Chen

No preview · Article · Feb 2016 · Mathematische Annalen
• ##### Article: Spectra of Cantor measures

No preview · Article · Jan 2016 · Mathematische Annalen
• ##### Article: Realizing the analytic surgery group of Higson and Roe geometrically part III: higher invariants
[Hide abstract]
ABSTRACT: We construct an isomorphism between the geometric model and Higson-Roe’s analytic surgery group, reconciling the constructions in the previous papers in the series on “Realizing the analytic surgery group of Higson and Roe geometrically” with their analytic counterparts. Following work of Lott and Wahl, we construct a Chern character on the geometric model for the surgery group; it is a “delocalized Chern character”, from which Lott’s higher delocalized $$\rho$$-invariants can be retrieved. Following work of Piazza and Schick, we construct a geometric map from Stolz’ positive scalar curvature sequence to the geometric model of Higson-Roe’s analytic surgery exact sequence.
No preview · Article · Jan 2016 · Mathematische Annalen
• ##### Article: A vanishing theorem of Kollár–Ohsawa type
[Hide abstract]
ABSTRACT: For proper surjective holomorphic maps from Kähler manifolds to analytic spaces, we give a decomposition theorem for the cohomology groups of the canonical bundle twisted by Nakano semi-positive vector bundles by means of the higher direct image sheaves, by using the theory of harmonic integrals developed by Takegoshi. As an application, we prove a vanishing theorem of Kollár–Ohsawa type by combining the $$L^2$$-method for the $$\overline{\partial }$$-equation.
No preview · Article · Jan 2016 · Mathematische Annalen
• ##### Article: Equidistribution of saddle periodic points for Hénon-type automorphisms of $$\mathbb {C}^k$$ C k
[Hide abstract]
ABSTRACT: In this paper, we prove the equidistribution of saddle periodic points for Hénon-type automorphisms of $$\mathbb {C}^k$$ with respect to its equilibrium measure. A general strategy to obtain equidistribution properties in any dimension is presented. It is based on our recent theory of densities for positive closed currents. Several fine properties of dynamical currents are also proved.
No preview · Article · Jan 2016 · Mathematische Annalen
• ##### Article: Three circles theorems for harmonic functions
[Hide abstract]
ABSTRACT: We proved two Three Circles Theorems for harmonic functions on manifolds in integral sense. As one application, on manifold with nonnegative Ricci curvature, whose tangent cone at infinity is the unique metric cone with unique conic measure, we showed the existence of nonconstant harmonic functions with polynomial growth. This existence result recovered and generalized the former result of Y. Ding, and led to a complete answer of L. Ni's conjecture. Furthermore in similar context, combining the techniques of estimating the frequency of harmonic functions with polynomial growth, which were developed by Colding and Minicozzi, we confirmed their conjecture about the uniform bound of frequency.
No preview · Article · Jan 2016 · Mathematische Annalen
• ##### Article: A multi-dimensional bistable nonlinear diffusion equation in a periodic medium
[Hide abstract]
ABSTRACT: In this work we study the existence of wave solutions for a scalar reaction-diffusion equation of bistable type posed in a multi-dimensional periodic medium. Roughly speaking our result states that bistability ensures the existence of waves for both balanced and unbalanced reaction term. Here the term wave is used to describe either pulsating travelling wave or standing transition solution. As a special case we study a two-dimensional heterogeneous Allen–Cahn equation in both cases of slowly varying medium and rapidly oscillating medium. We prove that bistability occurs in these two situations and we conclude to the existence of waves connecting $$u = 0$$ and $$u = 1$$. Moreover in a rapidly oscillating medium we derive a sufficient condition that guarantees the existence of pulsating travelling waves with positive speed in each direction.
No preview · Article · Dec 2015 · Mathematische Annalen
• ##### Article: Decorated marked surfaces: spherical twists versus braid twists
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ABSTRACT: We are interested in the 3-Calabi-Yau categories (Formula presented.) arising from quivers with potential associated to a triangulated marked surface (Formula presented.) (without punctures). We prove that the spherical twist group (Formula presented.) of (Formula presented.) is isomorphic to a subgroup (generated by braid twists) of the mapping class group of the decorated marked surface (Formula presented.). Here (Formula presented.) is the surface obtained from (Formula presented.) by decorating with a set of points, where the number of points equals the number of triangles in any triangulations of (Formula presented.). For instance, when (Formula presented.) is an annulus, the result implies that the corresponding spaces of stability conditions on (Formula presented.) are contractible.
No preview · Article · Dec 2015 · Mathematische Annalen
• ##### Article: Irreducible representations of odd degree
[Hide abstract]
ABSTRACT: McKay’s original observation on characters of odd degrees of finite groups is reduced to almost simple groups.
No preview · Article · Dec 2015 · Mathematische Annalen
• ##### Article: Motivic structures on higher homotopy groups of hyperplane arrangements
[Hide abstract]
ABSTRACT: In this note, we show the existence of motivic structures on certain objects arising from the higher (rational) homotopy groups of non-nilpotent spaces. Examples of such spaces include several families of hyperplane arrangements. In particular, we construct an object in Nori’s category of motives whose realization is a certain completion of (Formula presented.) where the (Formula presented.) are hyperplanes in general position. Similar results are shown to hold in Vovoedsky’s setting of mixed motives.
No preview · Article · Nov 2015 · Mathematische Annalen
• ##### Article: A variational characterization of complex submanifolds
[Hide abstract]
ABSTRACT: In this note, we generalize our results in Arezzo and Sun (Reine Angew Math, doi:10.1515/crelle-2013-0097, 2012) to integer p-currents of any degree. We prove that if the mass of a current, as a functional of the ambient metric, has a critical or stable point in some special directions, then the current is complex. This holds for any dimension and codimension. We also study a natural functional on the space of currents representing a fixed homology class, closely related to the first derivative of the Mass in our new approach, detecting the deviation of a surface from being holomorphic.
No preview · Article · Nov 2015 · Mathematische Annalen
• ##### Article: Convergence of Yang–Mills–Higgs fields
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ABSTRACT: In this paper, we study the convergence of Yang–Mills–Higgs (YMH) fields defined on fiber bundles over Riemann surfaces, where the fiber is a compact symplectic manifold and the conformal structure of the underlying surface is allowed to vary. We show that away from the nodes, the YMH fields converges, up to gauge, to a smooth YMH field modulo finitely many harmonic spheres, while near the nodes where the conformal structure degenerates, the YMH fields converges to a pair consisting of a flat connection and a twisted geodesic (with potential). In particular, we generalize the recent compactness results on both harmonic maps from surfaces and twisted holomorphic curves to general YMH fields.
No preview · Article · Oct 2015 · Mathematische Annalen
• ##### Article: Multivariate Abel–Ruffini
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ABSTRACT: We generalize the Abel–Ruffini theorem to arbitrary dimension, i.e. classify general square systems of polynomial equations solvable by radicals. In most cases, they reduce to systems whose tuples of Newton polytopes have mixed volume not exceeding 4. The proof is based on topological Galois theory, which ensures non-solvability by any formula involving quadratures and single-valued functions, and the computation of the monodromy group of a general system of equations, which may be of independent interest.
No preview · Article · Oct 2015 · Mathematische Annalen
• ##### Article: A characterization for solutions of the Monge-Kantorovich mass transport problem
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ABSTRACT: A measure theoretical approach is presented to study the solutions of the Monge-Kantorovich optimal mass transport problems. This approach together with Kantorovich duality provide an effective tool to answer a long standing question about the support of optimal plans for the mass transport problem involving general cost functions. We also establish a criterion for the uniqueness.
No preview · Article · Oct 2015 · Mathematische Annalen
• Source
##### Article: Hartogs-type extension for tube-like domains in C2
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ABSTRACT: In this paper we consider the Hartogs-type extension problem for unbounded domains in C2. An easy necessary condition for a domain to be of Hartogs-type is that there is no a closed (in C2) complex variety of codimension one in the domain which is given by a holomorphic function smooth up to the boundary. The question is, how far this necessary condition is from the sufficient one? To show how complicated this question is, we give a class of tube-like domains which contain a complex line in the boundary which are either of Hartogs-type or not, depending on how the complex line is positioned with respect to the domain.
Preview · Article · Oct 2015 · Mathematische Annalen
• ##### Article: Markov’s inequality and polynomial mappings
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ABSTRACT: Markov’s inequality is a certain estimate for the norm of the derivative of a polynomial in terms of the degree and the norm of this polynomial. It has many interesting applications in approximation theory, constructive function theory and in analysis (for instance, to Sobolev inequalities or Whitney-type extension problems). One of the purposes of this paper is to give a solution to an old problem, studied among others by Baran and Pleśniak, and concerning the invariance of Markov’s inequality under polynomial mappings (polynomial images). We also address the issue of preserving Markov’s inequality when taking polynomial preimages. Lastly, we give a sufficient condition for a subset of a Markov set to be a Markov set.
No preview · Article · Oct 2015 · Mathematische Annalen
• ##### Article: Evans–Krylov Estimates for a nonconvex Monge–Ampère equation
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ABSTRACT: We establish Evans–Krylov estimates for certain nonconvex fully nonlinear elliptic and parabolic equations by exploiting partial Legendre transformations. The equations under consideration arise in part from the study of the “pluriclosed flow” introduced by Streets and Tian (Int Math Res Not 16:3101–3133, 2010).
No preview · Article · Sep 2015 · Mathematische Annalen
• ##### Article: Global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations
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ABSTRACT: The three-dimensional incompressible magnetohydrodynamic equations with stochastic external forces are considered. First the existence and uniqueness of local strong solution to the stochastic magnetohydrodynamic equations are proved when the external forces satisfy some conditions. The proof is based on the contraction mapping principle, stopping time and stochastic estimates. The strong solution is a weak solution for the fluid variables with a given complete probability space and a given Brownian motion. Then, the global existence of strong solutions in probability is established if the initial data are sufficiently small, and the noise is multiplicative and non-degenerate.
No preview · Article · Sep 2015 · Mathematische Annalen