Compositio Mathematica Journal Impact Factor & Information

Publisher: London Mathematical Society, Foundation Compositio Mathematica

Journal description

The aim of Compositio Mathematica is to publish first class mathematical research papers. By tradition the journal focuses on papers in the main stream of pure mathematics. This includes the fields of algebra number theory topology algebraic and analytic geometry and (geometric) analysis. Papers on other topics are welcome if they are of interest to more than specialists alone. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.

Current impact factor: 0.99

Impact Factor Rankings

2015 Impact Factor Available summer 2016
2014 Impact Factor 0.993
2013 Impact Factor 1.043
2012 Impact Factor 1.024
2011 Impact Factor 1.187
2010 Impact Factor 0.941
2009 Impact Factor 1.246
2008 Impact Factor 0.993
2007 Impact Factor 0.882
2006 Impact Factor 0.675
2005 Impact Factor 0.758
2004 Impact Factor 0.906
2003 Impact Factor 0.662
2002 Impact Factor 0.601
2001 Impact Factor 0.447
2000 Impact Factor 0.6
1999 Impact Factor 0.639
1998 Impact Factor 0.676
1997 Impact Factor 0.463
1996 Impact Factor 0.523
1995 Impact Factor 0.47
1994 Impact Factor 0.478
1993 Impact Factor 0.463
1992 Impact Factor 0.354

Impact factor over time

Impact factor

Additional details

5-year impact 1.23
Cited half-life >10.0
Immediacy index 0.20
Eigenfactor 0.01
Article influence 2.38
Website Compositio Mathematica website
Other titles Compositio mathematica
ISSN 0010-437X
OCLC 1564581
Material type Periodical, Internet resource
Document type Journal / Magazine / Newspaper, Internet Resource

Publisher details

Foundation Compositio Mathematica

  • Pre-print
    • Author can archive a pre-print version
  • Post-print
    • Author can archive a post-print version
  • Conditions
    • On author's personal website, institutional website or electronic archive (including open access repository and arXiv)
    • Publisher's version/PDF cannot be used
    • Must update with publisher copyright and source must be acknowledged upon publication
    • Must link to publisher version with DOI
    • Statement regarding difference between pre-print and published version
  • Classification

Publications in this journal

  • [Show abstract] [Hide abstract]
    ABSTRACT: The notion of Berman–Gibbs stability was originally introduced by Berman for $\mathbb{Q}$ -Fano varieties $X$ . We show that the pair $(X,-K_{X})$ is K-stable (respectively K-semistable) provided that $X$ is Berman–Gibbs stable (respectively semistable).
    Compositio Mathematica 11/2015; DOI:10.1112/S0010437X1500768X
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    ABSTRACT: Let $R$ be a commutative ring, let $F$ be a locally compact non-archimedean field of finite residual field $k$ of characteristic $p$ , and let $\mathbf{G}$ be a connected reductive $F$ -group. We show that the pro- $p$ -Iwahori Hecke $R$ -algebra of $G=\mathbf{G}(F)$ admits a presentation similar to the Iwahori–Matsumoto presentation of the Iwahori Hecke algebra of a Chevalley group, and alcove walk bases satisfying Bernstein relations. This was previously known only for a $F$ -split group $\mathbf{G}$ .
    Compositio Mathematica 10/2015; DOI:10.1112/S0010437X15007666
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    ABSTRACT: In this paper we establish a Chowla–Selberg formula for abelian CM fields. This is an identity which relates values of a Hilbert modular function at CM points to values of Euler’s gamma function ${\rm\Gamma}$ and an analogous function ${\rm\Gamma}_{2}$ at rational numbers. We combine this identity with work of Colmez to relate the CM values of the Hilbert modular function to Faltings heights of CM abelian varieties. We also give explicit formulas for products of exponentials of Faltings heights, allowing us to study some of their arithmetic properties using the Lang–Rohrlich conjecture.
    Compositio Mathematica 09/2015; DOI:10.1112/S0010437X15007629
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    ABSTRACT: Let $\mathbf{G}$ be the connected reductive group of type $E_{7,3}$ over $\mathbb{Q}$ and $\mathfrak{T}$ be the corresponding symmetric domain in $\mathbb{C}^{27}$ . Let ${\rm\Gamma}=\mathbf{G}(\mathbb{Z})$ be the arithmetic subgroup defined by Baily. In this paper, for any positive integer $k\geqslant 10$ , we will construct a (non-zero) holomorphic cusp form on $\mathfrak{T}$ of weight $2k$ with respect to ${\rm\Gamma}$ from a Hecke cusp form in $S_{2k-8}(\text{SL}_{2}(\mathbb{Z}))$ . We follow Ikeda’s idea of using Siegel’s Eisenstein series, their Fourier–Jacobi expansions, and the compatible family of Eisenstein series.
    Compositio Mathematica 09/2015; DOI:10.1112/S0010437X15007538
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    ABSTRACT: We study ultrametric germs in one variable having an irrationally indifferent fixed point at the origin with a prescribed multiplier. We show that for many values of the multiplier, the cycles in the unit disk of the corresponding monic quadratic polynomial are ‘optimal’ in the following sense: they minimize the distance to the origin among cycles of the same minimal period of normalized germs having an irrationally indifferent fixed point at the origin with the same multiplier. We also give examples of multipliers for which the corresponding quadratic polynomial does not have optimal cycles. In those cases we exhibit a higher-degree polynomial such that all of its cycles are optimal. The proof of these results reveals a connection between the geometric location of periodic points of ultrametric power series and the lower ramification numbers of wildly ramified field automorphisms. We also give an extension of Sen’s theorem on wildly ramified field automorphisms, and a characterization of minimally ramified power series in terms of the iterative residue.
    Compositio Mathematica 09/2015; -1:1-36. DOI:10.1112/S0010437X15007575
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    ABSTRACT: With analytic applications in mind, in particular Beyond Endoscopy ([13]), we initiate the study of the elliptic part of the trace formula. Incorporating the approximate functional equation to the elliptic part we control the analytic behavior of the volumes of tori that appear in the elliptic part. Furthermore by carefully choosing the truncation parameter in the approximate functional equation we smooth-out the singularities of orbital integrals. Finally by an application of Poisson summation we rewrite the elliptic part so that it is ready to be used in analytic applications, and in particular in Beyond Endoscopy. As a by product we also isolate the contributions of special representations as pointed out in [13].
    Compositio Mathematica 06/2015; DOI:10.1112/S0010437X15007320
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    ABSTRACT: In this article we explain how the results in [Bö2] allow one to attach a Hecke character to every cuspidal Drinfeld modular eigenform via its associated crystals constructed in [Bö1]. On the technical side, we prove along the way a number of results on endomorphism rings of τ -sheaves and crystals. These are needed to exhibit the close relation between Hecke operators as endomorphisms of crystals on the one side and Frobenius automorphisms acting o etale sheaves associated to crystals on the other.
    Compositio Mathematica 06/2015; -1. DOI:10.1112/S0010437X15007290
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    ABSTRACT: We show that arithmetic local constants attached by Mazur and Rubin to pairs of self-dual Galois representations which are congruent modulo a prime number \$p>2\$ are compatible with the usual local constants at all primes not dividing \$p\$ and in two special cases also at primes dividing \$p\$. We deduce new cases of the \$p\$-parity conjecture for Selmer groups of abelian varieties with real multiplication (Theorem 4.14) and elliptic curves (Theorem 5.10).
    Compositio Mathematica 04/2015; -1(9):1-21. DOI:10.1112/S0010437X14008069
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    ABSTRACT: Let $K$ be a totally real field. By the asymptotic Fermat's Last Theorem over $K$ we mean the statement that there is a constant $B_K$ such that for prime exponents $p>B_K$ the only solutions to the Fermat equation $a^p + b^p + c^p = 0$ with $a$, $b$, $c$ in $K$ are the trivial ones satisfying $abc = 0$. With the help of modularity, level lowering and image of inertia comparisons we give an algorithmically testable criterion which if satisfied by $K$ implies the asymptotic Fermat's Last Theorem over $K$. Using techniques from analytic number theory, we show that our criterion is satisfied by $K = \mathbb{Q}(\sqrt{d})$ for a subset of $d$ having density $5/6$ among the squarefree positive integers. We can improve this to density 1 if we assume a standard "Eichler-Shimura" conjecture.
    Compositio Mathematica 03/2015; 151(8):1-21. DOI:10.1112/S0010437X14007957
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    ABSTRACT: In this paper, we study the structure of the local components of the (shallow, i.e. without U-p) Hecke algebras acting on the space of modular forms modulo p of level 1, and relate them to pseudo-deformation rings. In many cases, we prove that those local components are regular complete local algebras of dimension 2, generalizing a recent result of Nicolas and Serre for the case p = 2.
    Compositio Mathematica 03/2015; 151(3):397-415. DOI:10.1112/S0010437X1400774X
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    ABSTRACT: Let \$W\$ be an extended affine Weyl group. We prove that the minimal length elements \$w_{{\mathcal{O}}}\$ of any conjugacy class \${\mathcal{O}}\$ of \$W\$ satisfy some nice properties, generalizing results of Geck and Pfeiffer [On the irreducible characters of Hecke algebras, Adv. Math. 102 (1993), 79–94] on finite Weyl groups. We also study a special class of conjugacy classes, the straight conjugacy classes. These conjugacy classes are in a natural bijection with the Frobenius-twisted conjugacy classes of some \$p\$-adic group and satisfy additional interesting properties. Furthermore, we discuss some applications to the affine Hecke algebra \$H\$. We prove that \$T_{w_{{\mathcal{O}}}}\$, where \${\mathcal{O}}\$ ranges over all the conjugacy classes of \$W\$, forms a basis of the cocenter \$H/[H,H]\$. We also introduce the class polynomials, which play a crucial role in the study of affine Deligne–Lusztig varieties He [Geometric and cohomological properties of affine Deligne–Lusztig varieties, Ann. of Math. (2) 179 (2014), 367–404].
    Compositio Mathematica 11/2014; 150(11). DOI:10.1112/S0010437X14007349
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    ABSTRACT: We apply results from both contact topology and exceptional surgery theory to study when Legendrian surgery on a knot yields a reducible manifold. As an application, we show that a reducible surgery on a non-cabled positive knot of genus g must have slope 2g-1, leading to a proof of the cabling conjecture for positive knots of genus 2. Our techniques also produce bounds on the maximum Thurston-Bennequin numbers of cables.
    Compositio Mathematica 10/2014; DOI:10.1112/S0010437X15007599

  • Compositio Mathematica 09/2014; 150(09):1482-1484. DOI:10.1112/S0010437X14007489
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    ABSTRACT: Let \$\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}G\$ be a connected real semisimple Lie group, \$V\$ be a finite-dimensional representation of \$G\$ and \$\mu \$ be a probability measure on \$G\$ whose support spans a Zariski-dense subgroup. We prove that the set of ergodic \$\mu \$-stationary probability measures on the projective space \$\mathbb{P}(V)\$ is in one-to-one correspondence with the set of compact \$G\$-orbits in \$\mathbb{P}(V)\$. When \$V\$ is strongly irreducible, we prove the existence of limits for the empirical measures. We prove related results over local fields as the finiteness of the set of ergodic \$\mu \$-stationary measures on the flag variety of \$G\$.
    Compositio Mathematica 09/2014; 150(09):1579-1606. DOI:10.1112/S0010437X1400726X
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    ABSTRACT: We prove a subconvexity bound for the central value L(1/2, chi) of a Dirichlet L-function of a character chi to a prime power modulus q=p^n of the form L(1/2, chi)\ll p^r * q^(theta+epsilon) with a fixed r and theta\approx 0.1645 < 1/6, breaking the long-standing Weyl exponent barrier. In fact, we develop a general new theory of estimation of short exponential sums involving p-adically analytic phases, which can be naturally seen as a p-adic analogue of the method of exponent pairs. This new method is presented in a ready-to-use form and applies to a wide class of well-behaved phases including many that arise from a stationary phase analysis of hyper-Kloosterman and other complete exponential sums.
    Compositio Mathematica 07/2014; DOI:10.1112/S0010437X15007381