Compositio Mathematica (COMPOS MATH)
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: 1.04
Impact Factor Rankings
2015 Impact Factor  Available summer 2015 

2013 / 2014 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
Additional details
5year impact  1.24 

Cited halflife  0.00 
Immediacy index  0.09 
Eigenfactor  0.01 
Article influence  2.12 
Website  Compositio Mathematica website 
Other titles  Compositio mathematica 
ISSN  0010437X 
OCLC  1564581 
Material type  Periodical, Internet resource 
Document type  Journal / Magazine / Newspaper, Internet Resource 
Publisher details
Foundation Compositio Mathematica

Preprint
 Author can archive a preprint version

Postprint
 Author can archive a postprint 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 preprint and published version

Classification green
Publications in this journal

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ABSTRACT: We prove that the group of normalized invariants of degree 3 modulo the subgroup of semidecomposable invariants of a semisimple split linear algebraic group is isomorphic to the torsion part of the Chow group of codimension 2 cycles of the respective versal flag.Compositio Mathematica 11/2014; 
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ABSTRACT: We study the minimal length elements in extended affine Weyl group of the general linear group GL n and show that these elements are quite "special", which extends a result of Geck and Pfeiffer [GP1] on finite Weyl groups. The special property of minimal length elements is a key ingredient in the study of affine DeligneLusztig varieties [GH] and [H3] and also useful in the study of affine Hecke algebras.Compositio Mathematica 11/2014; 150(11). DOI:10.1112/S0010437X14007349 
Article: Random walks on projective spaces
Compositio Mathematica 09/2014; 150(09):15791606. DOI:10.1112/S0010437X1400726X 
Compositio Mathematica 07/2014; 150(7). DOI:10.1112/S0010437X13007835

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ABSTRACT: We introduce support varieties for rational representations of a linear algebraic group $G$ of exponential type over an algebraically closed field $k$ of characteristic $p > 0$. These varieties are closed subspaces of the space $V(G)$ of all 1parameter subgroups of $G$. The functor $M \mapsto V(G)_M$ satisfies many of the standard properties of support varieties satisfied by finite groups and other finite group schemes. Furthermore, there is a close relationship between $V(G)_M$ and the family of support varieties $V_r(G)_M$ obtained by restricting the $G$ action to Frobenius kernels $G_{(r)} \subset G$. These support varieties seem particularly appropriate for the investigation of infinite dimensional rational $G$modules.Compositio Mathematica 06/2014; DOI:10.1112/S0010437X14007726 
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ABSTRACT: We formulate a conjecture which generalizes Darmon's "refined class number formula". We discuss relations between our conjecture and the equivariant leading term conjecture of Burns. As an application, we give another proof of the "except 2part" of Darmon's conjecture, which was first proved by Mazur and Rubin.Compositio Mathematica 06/2014; DOI:10.1112/S0010437X14007416 
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ABSTRACT: Let k be a field and V the affine threefold in A(k)(4) defined by x(m)y = F(x, z,t), m >= 2. In this paper, we show that V congruent to A(k)(3), if and only if f(z, t) := F(0, z, t) is a coordinate of k[z, t]. In particular, when k is a field of positive characteristic and f defines a nontrivial line in the affine plane A(k)(2), (we shall call such a V as an Asanuma threefold), then V not congruent to A(k)(3) although V x A(k)(1) congruent to A(k)(4) thereby providing a family of counterexamples to Zariski's cancellation conjecture for the affine 3space in positive characteristic. Our main result also proves a special case of the embedding conjecture of Abhyankar Sathaye in arbitrary characteristic.Compositio Mathematica 06/2014; 150(6). DOI:10.1112/S0010437X13007793 
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ABSTRACT: As the simplest case of Langlands functoriality, one expects the existence of the symmetric power $S^n(\pi )$, where $\pi $ is an automorphic representation of ${\rm GL}(2,{\mathbb{A}})$ and ${\mathbb{A}}$ denotes the adeles of a number field $F$. This should be an automorphic representation of ${\rm GL}(N,{\mathbb{A}})$ ($N=n+1)$. This is known for $n=2,3$ and $4$. In this paper we show how to deduce the general case from a recent result of J.T. on deformation theory for ‘Schur representations’, combined with expected results on levelraising, as well as another case (a particular tensor product) of Langlands functoriality. Our methods assume $F$ totally real, and the initial representation $\pi $ of classical type.Compositio Mathematica 05/2014; 150(5). DOI:10.1112/S0010437X13007653 
Article: Dmodules on spaces of rational maps
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ABSTRACT: Let X be an algebraic curve. We study the problem of parametrizing geometric structures over X which are only generically defined. For example, parametrizing generically defined maps (rational maps) from X to a fixed target scheme Y. There are three methods for constructing functors of points for such moduli problems (all originally due to Drinfeld), and we show that the resulting functors are equivalent in the fppf Grothendieck topology. As an application, we obtain three presentations for the category of Dmodules ‘on’ B(K)∖G(𝔸)/G(𝕆), and we combine results about this category coming from the different presentations.Compositio Mathematica 05/2014; 150(5). DOI:10.1112/S0010437X13007707 
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ABSTRACT: We prove that, for simple modules $M$ and $N$ over a quantum affine algebra, their tensor product $M \otimes N$ has a simple head and a simple socle if $M \otimes M$ is simple. A similar result is proved for the convolution product of simple modules over quiver Hecke algebras.Compositio Mathematica 04/2014; DOI:10.1112/S0010437X14007799 
Compositio Mathematica 04/2014; 150(4). DOI:10.1112/S0010437X13007574

Article: Higher Chow cycles on Abelian surfaces and a nonArchimedean analogue of the HodgeDconjecture
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ABSTRACT: We construct new indecomposable elements in the higher Chow group CH 2 (A,1) of a principally polarized Abelian surface over a padic local field, which generalize an element constructed by Collino [Griffiths’ infinitesimal invariant and higher Ktheory on hyperelliptic Jacobians, J. Algebraic Geom. 6 (1997), 393415]. These elements are constructed using a generalization, due to Birkenhake and Wilhelm [HumbertsurfacesandtheKummerplane, Trans. Amer. Math. Soc. 355 (2003), 18191841 (electronic)], of a classical construction of Humbert. They can be used to prove a nonArchimedean analogue of the HodgeDconjecture – namely, the surjectivity of the boundary map in the localization sequence – in the case where the Abelian surface has good and ordinary reduction.Compositio Mathematica 04/2014; 150(4). DOI:10.1112/S0010437X13007690 
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ABSTRACT: Generalizing previous results of DeligneSerre and Taylor, Galois representations are attached to cuspidal automorphic representations of unitary groups whose Archimedean component is a holomorphic limit of discrete series. The main ingredient is a construction of congruences, using the Hasse invariant, that is independent of qexpansions.Compositio Mathematica 01/2014; 150(2). DOI:10.1112/S0010437X13007355 
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ABSTRACT: We explain how the AndréOort conjecture for a general Shimura variety can be deduced from the hyperbolic AxLindemann conjecture, a good lower bound for Galois orbits of special points and the definability, in the ominimal structure ℝ an , exp , of the restriction to a fundamental set of the uniformizing map of a Shimura variety. These ingredients are known in some important cases. As a consequence a proof of the AndréOort conjecture for projective special subvarieties of A 6 N for an arbitrary integer N is given.Compositio Mathematica 01/2014; 150(2). DOI:10.1112/S0010437X13007446 
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ABSTRACT: In this paper, we construct a generalization of the Kohnen plus space for Hilbert modular forms of halfintegral weight. The Kohnen plus space can be characterized by the eigenspace of a certain Hecke operator. It can be also characterized by the behavior of the Fourier coefficients. For example, in the parallel weight case, a modular form of weight κ+(1/2) with ξth Fourier coefficient c(ξ) belongs to the Kohnen plus space if and only if c(ξ)=0 unless (1) κ ξ is congruent to a square modulo 4. The Kohnen subspace is isomorphic to a certain space of Jacobi forms. We also prove a generalization of the KohnenZagier formula.Compositio Mathematica 12/2013; 149(12). DOI:10.1112/S0010437X13007276
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