# Compositio Mathematica (COMPOS MATH)

Publisher London Mathematical Society

## 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.

• Impact factor
1.02
Show impact factor history

Impact factor
.
Year
• 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

## Publications in this journal

• Source
##### Article: Hecke Algebras of Classical Groups over p-adic Fields II
[hide abstract]
ABSTRACT: In the previous part of this paper, we constructed a large family of Hecke algebras on some classical groups G defined over p -adic fields in order to understand their admissible representations. Each Hecke algebra is associated to a pair ( J Σ , ρ Σ ) of an open compact subgroup J Σ and its irreducible representation ρ Σ which is constructed from given data Σ = (Γ, P ′ 0 , ϱ). Here, Γ is a semisimple element in the Lie algebra of G, P ′ 0 is a parahoric subgroup in the centralizer of Γ in G, and ϱ is a cuspidal representation on the finite reductive quotient of P ′ 0 . In this paper, we explicitly describe those Hecke algebras when P ′ 0 is a minimal parahoric subgroup, ϱ is trivial and ρ Σ is a character. Peer Reviewed http://deepblue.lib.umich.edu/bitstream/2027.42/42603/1/10599_2004_Article_271703.pdf
Compositio Mathematica 08/2013;
• Source
##### Article: Subregular Representations of {\mathfrak{s}}{\mathfrak{l}}_n and Simple Singularities of Type A n−1
[hide abstract]
ABSTRACT: Alexander Premet has stated the following problem: what is a relation between subregular nilpotent representations of a classical semisimple restricted Lie algebra and non-commutative deformations of the corresponding singularities? We solve this problem for type A.
Compositio Mathematica 08/2013; 138(3).
• Source
##### Article: Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III
[hide abstract]
ABSTRACT: The main object of this paper is the mean square I_h(s) of higher derivatives of Hurwitz zeta functions ζ(s,α) . We shall prove asymptotic formulas for I_h(1/2+it)as t→＋∞with the coefficients in closed expressions (Theorem 1). We also prove a certain explicit formula for I_h(1/2+it) (Theorem 2), in which the coefficients are, in a sense, not explicit. However, one merit of this formula is that it contains sufficient information for obtaining the complete asymptotic expansion for I_h(1/2+it) when h is small. Another merit is that Theorem 1 can be strengthened with the aid of Theorem 2 (see Theorem 3). The fundamental method for the proofsisis Atkinson's dissection argument applied to the product ζ(u,α)ζ(v,α) with the independent complex variables u and v. Compositio Mathematica. v.131, 2002, p.239-266
Compositio Mathematica 08/2013;
• ##### Article: Une question sur les équations x m − y m = Rz n (A Question on the Equations x m − y m = Rz n )
[hide abstract]
ABSTRACT: Let m and n be integers at least two and R be a nonzero natural number. In this paper, we study the problem of the determination of the proper solutions of the Diophantine equation x m − y m equals; Rz n . We raise a question concerning the existence of any proper nontrivial solution of this equation, in case some precise conditions are satisfied by the triple (m, n, R). We prove some results about it.
Compositio Mathematica 08/2013; 132(1).
• ##### Article: Galois Theory of B dR +
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ABSTRACT: We formulate and prove necessary and sufficient conditions for the Galois correspondence to hold for the ring of p-adic periods B+dR.
Compositio Mathematica 08/2013; 117(1).
• Source
##### Article: Asymptotic behaviour of the Castelnuovo-Mumford regularity.
[hide abstract]
ABSTRACT: Let S be a polynomial ring over a eld. For a graded S-module generated in degree at most P, the Castelnuovo-Mumford regularity of each of (i) its nth symmetric power, (ii) its nth torsion-free symmetric power and (iii) the integral closure of its nth torsion-free symmetric power is bounded above by a linear function in n with leading coecient at most P. For a graded ideal I of S, the regularity of In is given by a linear function of n for all suciently large n. The leading coecient of this function is identied. Let S = k(x1; ;x d) be a polynomial ring over a eld k with its usual grading, i.e., each xi has degree 1, and let m denote the maximal graded ideal of S.L et Nbe a nitely generated non-zero graded S-module. The Castelnuovo-Mumford regularity of N, denoted reg(N), is dened to be the least integer m so that, for every j ,t he jth syzygy of N is generated in degrees m + j. By Hilbert's syzygy theorem, N has a graded free resolution over S of the form
Compositio Mathematica 08/2013;
• ##### Article: Combinatorics of the \widehat{\mathfrak{s}\mathfrak{l}}_2 Coinvariants: Dual Functional Realization and Recursion
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ABSTRACT: We give the fermionic character formulas for the spaces of coinvariants obtained from level k integrable representations of $\widehat{\mathfrak{s}\mathfrak{l}}_2$ . We establish the functional realization of the spaces dual to the coinvariant spaces. We parameterize functions in the dual spaces by rigged partitions, and prove the recursion relations for the sets of rigged partitions.
Compositio Mathematica 08/2013; 134(2).
• ##### Article: The $cd$-index of fans and posets
Compositio Mathematica 01/2006; 142(3):701-718.
• ##### Article: Differential Modular Forms on Shimura Curves, I
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ABSTRACT: The quotient of a Shimura curve by the isogeny equivalence relation is not an object of algebraic geometry. The paper shows how this quotient space becomes a geometric object in a more general geometry obtained from 'usual algebraic geometry', by adjoining a new operation; this operation looks like a 'Fermat quotient' and should be viewed as an arithmetic analogue of usual derivations.
Compositio Mathematica 10/2003; 139(2):197-237.
• Source
##### Article: Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P1 - {0,1, ∞}
[hide abstract]
ABSTRACT: Fix a prime number . We prove a conjecture stated by Ihara, which he attributes to Deligne, about the action of the absolute Galois group on the pro- completion of the fundamental group of the thrice punctured projective line. Similar techniques are also used to prove part of a conjecture of Goncharov, also about the action of the absolute Galois group on the fundamental group of the thrice punctured projective line. The main technical tool is the weighted completion of a profinite group with respect to a reductive representation (and other appropriate data).
Compositio Mathematica 10/2003; 139(2):119-167.
• Source
##### Article: The Speciality Lemma, Rank 2 Bundles and Gherardelli-type Theorems for Surfaces in P4
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ABSTRACT: In the present paper we give a very short and easy proof of the speciality lemma for codimension 2 subvarieties, even those that are reducible or non-reduced, in P n . Furthermore we give cohomological conditions that force a subcanonical surface in P 4 to be a complete intersection and a rank 2 bundle to split, which generalize the classical First Theorem of Gherardelli.
Compositio Mathematica 09/2003; 139(1):101-111.
• ##### Article: Stickelberger elements for cyclic extensions and the order of vanishing of Abelian L-functions at s=O
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ABSTRACT: We study the Stickelberger element of a cyclic extension of global fields of prime power degree. Assuming that S contains an almost splitting place, we show that the Stickelberger element is contained in a power of the relative augmentation ideal whose exponent is at least as large as Gross's prediction. This generalizes the work of Tate (see Section 4) on a refinement of Gross's conjecture in the cyclic case. We also present an example for which Tate's prediction does not hold.
Compositio Mathematica 09/2003;
• ##### Article: Equisingular Deformations of Sandwiched Singularities
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ABSTRACT: We relate the equisingular deformation theory of plane curve singularities and sandwiched surface singularities. We show the existence of a smooth map between the two corresponding deformation functors and study the kernel of this map. In particular we show that the map is an isomorphism when a certain invariant is large enough.
Compositio Mathematica 08/2003; 138(2):199-231.
• ##### Article: Towards Bounding Complexity of a Minimal Model
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ABSTRACT: We give some effectivity results in birational geometry. We provide an upper bound on the rational constant in Rationality Theorem in terms of certain intersection numbers, under an additional condition on the variety that it admits a divisorial contraction. One consequence is an explicit bound on the number of certain extremal rays. Our main result tries to construct from a given set of ample divisors H j on X with their intersection numbers b i , a certain set of ample divisors L j on X'' or X + where X'' or X + arises from a contraction or a flip,such that the corresponding intersection numbers of L j are uniformly bounded in terms of b i and the index of X. This gives a bound on the projective degree of a minimal model in special case.
Compositio Mathematica 08/2003; 138(3):245-260.
• Source
##### Article: Sur quelques représentations modulaires et p-adiques de GL2(Qp): I
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ABSTRACT: Let p be a prime number and F a complete local field with residue field of characteristic p. In 1993, Barthel and Livn proved the existence of a new kind of [(F)]p{\bar F_p } -representations of GL2(F) that they called 'supersingular' and on which one knows almost nothing. In this article, we determine all the supersingular representations of GL2(Q p ) with their intertwinings. This classification shows a natural bijection between the set of isomorphism classes of supersingular representations of GL2(Q p ) and the set of isomorphism classes of two-dimensional irreducible [(F)]p{\bar F_p } -representations of Gal( [`(Q)]p /Qp ){Gal}\left( {{\bar Q}_p /{Q}_p } \right) .
Compositio Mathematica 08/2003; 138(2):165-188.
• Source
##### Article: A Sato–Tate Law for Drinfeld Modules
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ABSTRACT: We formulate and prove a Sato–Tate equidistribution law for Drinfeld modules.
Compositio Mathematica 08/2003; 138(2):189-197.
• ##### Article: Almost Squares and Factorisations in Consecutive Integers
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ABSTRACT: We show that there is no square other than 122 and 7202 such that it can be written as a product of k–1 integers out of k(3) consecutive positive integers. We give an extension of a theorem of Sylvester that a product of k consecutive integers each greater than k is divisible by a prime exceeding k.
Compositio Mathematica 07/2003; 138(1):113-124.
• Source
##### Article: On the Iwasawa Theory of p-Adic Lie Extensions
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ABSTRACT: In this paper, the new techniques and results concerning the structure theory of modules over noncommutative Iwasawa algebras are applied to arithmetic: we study Iwasawa modules over p-adic Lie extensions k of number fields k 'up to pseudo-isomorphism'. In particular, a close relationship is revealed between the Selmer group of Abelian varieties, the Galois group of the maximal Abelian unramified p-extension of k as well as the Galois group of the maximal Abelian p-extension unramified outside S where S is a certain finite setof places of k. Moreover, we determine the Galois module structure of local units and other modules arising from Galois cohomology.
Compositio Mathematica 07/2003; 138(1):1-54.

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