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Fibre sequences and localization of simplicial sheaves
Fibre sequences simplicial sheaves
2010/11/24
In this paper, we provide criteria for fibre sequences of simplicial sheaves to be preserved by nullification. This generalizes a result of Berrick and Dror Farjoun and allows a better understanding o...
We prove a general theorem on partitioning several measures into equal parts, and several theorems on partitioning measures in the Euclidean space into equal parts by convex partitions. We use the id...
We investigate some general properties of algebraic cellular automata, i.e., cellular automata over groups whose alphabets are affine algebraic sets and which are locally defined by regular maps. When...
Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist. Applications to vector fields on non-commutative spac...
The Non-Bayesian Restless Multi-Armed Bandit: a Case of Near-Logarithmic Regret
The Non-Bayesian Restless Multi-Armed Bandit:Near-Logarithmic Regret
2010/11/24
In the classic Bayesian restless multi-armed bandit (RMAB) problem, there are $N$ arms, with rewards on all arms evolving at each time as Markov chains with known parameters. A player seeks to activa...
A Note on Singular Moduli Spaces of Sheaves on K3 Surfaces
Singular Moduli Spaces K3 Surfaces
2010/11/24
This paper studies deformations and birational maps between singular moduli spaces of semistable sheaves with 2-divisible Mukai vectors on K3 surfaces. It is showed that under certain conditions, two...
Vanishing integrals for Hall-Littlewood polynomials
Vanishing integrals Hall-Littlewood polynomials
2010/11/24
It is well known that if one integrates a Schur function indexed by a partition $\lambda$ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of $\lambda$ have even m...
Thom polynomials and the Green-Griffiths conjecture
Thom polynomials the Green-Griffiths conjecture
2010/11/24
In the first part of this paper we apply equivariant localization techniques to prove the Green-Griffiths conjecture for a generic projective hypersurface of dimension n and degree >2^{8nlogn}. In th...
Numerical Approximation of the Inviscid 3D Primitive Equations in a Limited Domain
the Inviscid 3D Primitive Equations Limited Domain
2010/11/24
A new set of nonlocal boundary conditions are proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for these modes. Numeri...
Cuspidal Multiple Structures on Smooth Algebraic Varieties as Support
Cuspidal Multiple Structures Smooth Algebraic Varieties
2010/11/24
We construct lci nilpotent scheme structures $Y \subset P$ on a smooth variety $X$ embedded in a smooth variety $P$, which are, locally, (i.e. in $\widehat{\mathcal O}_{p,P}$ ) given by ideals of the ...
A Note on Formality and Singularities of Moduli Spaces
Formality Singularities Moduli Spaces
2010/11/24
This paper studies formality of the differential graded algebra $RHom(E,E)$, where $E$ is a semistable sheaf on a K3 surface. The main tool is Kaledin's theorem on formality in families. For a large ...
A graph is called integral if all eigenvalues of its adjacency matrix consist entirely of integers. Recently, Csikvari proved the existence of integral trees of any even diameter. In the odd case, int...
Complete solution to a conjecture on the maximal energy of unicyclic graphs
Complete solution conjecture unicyclic graphs
2010/11/24
For a given simple graph $G$, the energy of $G$ denoted by $E(G)$, is defined as the sum of the absolute values of all eigenvalues of its adjacency matrix. Let $P_n^{\ell}$ be the unicyclic graph obt...
Generalizing results by Valette, Zamfirescu and Laczkovich, we will here prove that the tiling of any convex body K into convex subsets contains some information on K itself, namely if many tiles are ...
Surfaces with parallel mean curvature in $\mathbb{C}P^n\times\mathbb{R}$ and $\mathbb{C}H^n\times\mathbb{R}$
Surfaces with parallel mean curvature math
2010/11/24
We consider surfaces with parallel mean curvature vector (pmc surfaces) in $\mathbb{C}P^n\times\mathbb{R}$ and $\mathbb{C}H^n\times\mathbb{R}$, and, more generally, in cosymplectic space forms. We in...