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Concentration of points on Modular Quadratic Forms
modular equation quadratic form concentration of points
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2011/2/21
Let Q(x, y) be a quadratic form with discriminant D 6= 0. We obtain non trivial upper
bound estimates for the number of solutions of the congruence Q(x, y) ≡ (mod p), where p is
a prime and x, y l...
Covering morphisms of groupoids, derived modules and a 1-dimensional Relative Hurewicz Theorem
Covering morphisms of groupoids derived modules 1-dimensional Relative Hurewicz Theorem
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2011/1/21
We fill a lacuna in the literature by giving a version in dimension 1 of the Relative Hurewicz Theorem, and relate this to abelianisations of groupoids, covering spaces,covering morphisms of groupoids...
Arens Regularity and Module Arens Regularity of Module Actions
Arens regularity Bilinear mappings Topological center Second dual
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2011/1/20
In this paper, we extend some problems from Arens regularity and module Arens regularity of Banach algebras to module actions.
Weyl modules for multiloop algebras
Weyl modules multiloop algebras
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2011/2/25
Global and local Weyl modules for the untwisted multiloop Lie algebras were defined in [CFK] via homological properties. In this paper we extended the ideas to give a categorical definition of the Wey...
On Engel's Theorem for Leibniz algebras
Leibniz algebras nilpotent Engel’s Theorem.
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2011/1/17
I give a simpler proof of the generalisation of Engel’s Theorem to Leibniz algebras.
Almost-isometry between Teichmüller metric and length-spectra metric on moduli space
Teichm¨uller metric length-spectra metric almost isometry
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2011/1/19
We prove an analogue of Farb-Masur’s theorem that the lengthspectra metric on moduli space is “almost isometric” to a simple model V(S) which is induced by the cone metric over the complex of curves. ...
Rationality of instanton moduli
Rationality instanton moduli
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2011/2/22
By a mathematical instanton of charge n, we understand a rank-2 algebraic vector bundle E
on the 3-dimensional projective space P3 with Chern classes (1) c1(E) = 0, c2(E) = n,
satisfying the vanishi...
On Stably free modules over Laurent polynomial rings
Stably free modules Hermite rings Unimodular rows
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2011/2/21
We prove constructively that for any finite-dimensional commu-tative ring R and n dim(R) + 2, the group En(R[X,X−1]) acts transitively on Umn(R[X,X−1]). In particular, we obtain that for...
Fusion modeling in plasma physics: Vlasov-like systems
Fusion modeling plasma physics Vlasov-like systems
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2010/12/28
The methods developed by authors are applied to some reductions of BBGKY hierarchy, namely, various examples of Vlasov-like systems which are important both for fusionmodeling and for particular physi...
Scalar Moduli, Wall Crossing and Phenomenological Predictions
Wall Crossings Intrinsic Geometry Moduli Configurations
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2011/3/2
We present the scalar moduli stabilization from the perspective of the real intrinsic
geometry.
Fusion modeling in plasma physics: Vlasov-like systems
Fusion plasma physics Vlasov-like systems
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2011/3/3
The methods developed by authors are applied to some reductions of BBGKY hierarchy, namely, various examples of Vlasov-like systems which are important both for fusionmodeling and for particular physi...
Massive Hopfions
Massive Hopfions
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2011/3/2
The Skyrme-Faddeev model is a (3 + 1)-dimensional model which has knotted,string-like, soliton solutions. In this paper we investigate a Skyrme-Faddeev model with an SO(3) symmetry breaking potential....
Moduli of vortices and Grassmann manifolds
Vortex Grassmannian moduli K¨ahler form
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2011/2/22
We use the framework of Quot schemes to give a novel description of the moduli spaces of stable n-pairs, also interpreted as gauged vortices on a closed Riemann surface with target Matr×n(C), where ...
The rationality of the moduli spaces of trigonal curves of odd genus
trigonal curve rationality of moduli
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2011/1/18
The moduli spaces of trigonal curves of odd genus g ≥ 5 are proven to be rational.
The GL_n(q)-module structure of the symmetric algebra around the Steinberg module
GL_n(q)-module structure symmetric algebra Steinberg module
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2011/1/17
We determine the graded composition multiplicity in the symmetric algebra S•(V ) of the natural GLn(q)-module V , or equivalently in the coinvariant algebra of V ,for a large class of irreducibl...