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A note on the Frobenius morphism on toric varieties
note Frobenius morphism toric varieties
2011/1/20
We give a new, shorter computation of Frobenius push-forwards of line bundles on toric varieties.
On unit root formulas for toric exponential sums
Exponential sum A-hypergeometric function
2011/1/19
Starting from a classical generating series for Bessel functions due to Schl¨omilch[4], we use Dwork’s relative dual theory to broadly generalize unit-root results of Dwork[3] on Kloosterman sums and ...
Support convergence in the single ring theorem
Randommatrices non-commutativemeasure Schwinger–Dyson equation
2011/1/21
We study the eigenvalues of non-normal square matrices of the form An =UnTnVn with Un,Vn independent Haar distributed on the unitary group and Tn real diagonal. We show that when the empirical measure...
Let W be a complete local commutative Noetherian ring with residue field k of positive characteristic p. We study the inverse problem for the versal deformation rings RW(, V )
relative to W...
Annular Bose-Einstein Condensates in the Lowest Landau Level
Superfluidity Gross-Pitaevskii energy Bose-Einstein Condensates Vortices
2010/12/15
A rotating super uid such as a Bose-Einstein condensate is usually described by the Gross-
Pitaevskii (GP) model. An important issue is to determine from this model the properties of the
quantized v...
The homotopy type of toric arrangements
Hyperplane arrangements toric arrangements CW-complex Salvetti complex
2010/12/8
A toric arrangement is a finite set of hypersurfaces in a complex torus,every hypersurface being the kernel of a character. In the present paper we build a CW-complex homotopy equivalent to the arrang...
We propose a methodology to construct excited states with a fixed angular momentum, namely,
“yrast excited states” of finite-size one-dimensional bosonic systems with periodic boundary conditions.
We give an affirmative answer to the following question by Jarden and Narkiewicz: Is it true that every number field has a finite extension L such that the ring of integers of L is generated by its un...
Extremal spectral properties of Lawson tori and the Lamé equation
Lawson torus Lawson minimal surfaces extremal metric
2010/11/26
Extremal spectral properties of the Lawson tori are studied. A Law-son torus carries an extremal metric for some eigenvalue j of the Laplace-Beltrami operator. We prove that the metric on a Lawson to...
Equivariant total ring of fractions and factoriality of rings generated by semiinvariants
Equivariant total ring of fractions and factoriality of rings generated by semiinvariants
2010/12/13
Let F be an affine flat group scheme over a commutative ring R,and S an F-algebra (an R-algebra on which F acts). We define an equivariant analogue QF (S) of the total ring of fractions Q(S) of S.It i...
Skew polynomial rings, Groebner bases and the letterplace embedding of the free associative algebra
Skew polynomial rings Free algebras Gr¨obner bases
2010/12/9
In this paper we introduce an algebra embedding : KhXi → S from the free associative algebra KhXi generated by a finite or countable set X into the skew monoid ring S = P ∗ defined by the co...
Depth of edge rings arising from finite graphs
edge ring toric ideal finite graph Gr¨obner basis initial ideal
2010/12/1
Let G be a finite graph and K[G] the edge ring of G. Based on the technique of Gr¨obner bases and initial ideals, it will be proved that, given integers f and d with 7 f d, there exists a finite g...
Quantum revivals in two degrees of freedom integrable systems : the torus case
two degrees of freedom integrable systems torus case
2010/11/26
The paper deals with the semi-classical behaviour of quantum dynamics for a semi-classical completely integrable system with two degrees of freedom near Liouville regular torus. The phenomomenon of wa...
In this paper, we study algebras of tame acyclic cluster type. These are algebras of global dimension at most 2 whose generalized cluster category is equivalent to a cluster category of an acyclic qui...
We study those group rings whose group of units is hyperbolic.Let (X, ) be a metric space with metric . For any a, b, c ∈ X, the Gromov product hb, cia of b and c with respect to a ∈ X is defined as...