Now showing items 1-20 of 38

• #### The Cleavage Operad and String Topology of Higher Dimension ﻿

[OWP-2011-37] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
• #### Monoid valuations and value ordered supervaluations ﻿

[OWP-2011-17] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
We complement two papers on supertropical valuation theory ([IKR1], [IKR2]) by providing natural examples of m-valuations (= monoid valuations), after that of supervaluations and transmissions between them. The supervaluations ...
• #### The T-Graph of a Multigraded Hilbert Scheme ﻿

[OWP-2011-34] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
The $T$-graph of a multigraded Hilbert scheme records the zero and one-dimensional orbits of the $T=(K^*)^n$ action on the Hilbert scheme induced from the $T$-action on $\mathbb{A}^n$. It has vertices the $T$-fixed points, ...
• #### Dominance and Transmissions in Supertropical Valuation Theory ﻿

[OWP-2011-07] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
This paper is a sequel of [IKR1], where we defined supervaluations on a commutative ring $R$ and studied a dominance relation $\Phi >= v$ between supervaluations $\varphi$ and $\upsilon$ on $R$, aiming at an enrichment of ...
• #### Products of pairs of Dehn twists and maximal real Lefschetz fibrations ﻿

[OWP-2011-32] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
We address the problem of existence and uniqueness of a factorization of a given element of the modular group into a product of two Dehn twists. As a geometric application, we conclude that any maximal real elliptic ...
• #### Positive recurrence of piecewise Orntein-Uhlenbeck processes and common quadratic Lyapunov functions ﻿

[OWP-2011-26] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
We study the positive recurrence of piecewise Ornstein-Uhlenbeck (OU) diffusion processes, which arise from many-server queueing systems with phase-type service requirements. These diffusion processes exhibit different ...
• #### Some Combinatorial Identities Related to Commuting Varieties and Hilbert Schemes ﻿

[OWP-2011-02] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
In this article we explore some of the combinatorial consequences of recent results relating the isospectral commuting variety and the Hilbert scheme of points in the plane.
• #### Classification of totally real elliptic Lefschetz fibrations via necklace diagrams ﻿

[OWP-2011-13] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
We show that totally real elliptic Lefschetz brations that admit a real section are classified by their "real loci" which is nothing but an $S^1$-valued Morse function on the real part of the total space. We assign to ...
• #### Legendrian Knots in Lens Spaces ﻿

[OWP-2011-01] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
In this note, we first classify all topological torus knots lying on the Heegaard torus in Lens spaces, and then we classify Legendrian representatives of torus knots. We show that all Legendrian torus knots in universally ...
• #### Second Main Theorems and Unicity of Meromorphic Mappings with Moving Hypersurfaces ﻿

[OWP-2011-38] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
In this article, we establish some new second main theorems for meromorphic mappings of $\mathbf{C}^m$ into $\mathbf{P}^n(\mathbf{C})$ and moving hypersurfaces with truncated counting functions. As an application, we prove ...
• #### Analytic Varieties with Finite Volume Amoebas are Algebraic ﻿

[OWP-2011-33] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
In this paper, we study the amoeba volume of a given $k$-dimensional generic analytic variety $V$ of the complex algebraic torus $(C^*)^n$. When $n>=2k$, we show that $V$ is algebraic if and only if the volume of its amoeba ...
• #### New representations of matroids and generalizations ﻿

[OWP-2011-18] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
We extend the notion of matroid representations by matrices over fields by considering new representations of matroids by matrices over finite semirings, more precisely over the boolean and the superboolean semirings. This ...
• #### Upper bounds for the number of solutions to quartic thue equations ﻿

[OWP-2011-21] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
We will give upper bounds for the number of integral solutions to quartic Thue equations. Our main tool here is a logarithmic curve $\phi(x,y)$ that allows us to use the theory of linear forms in logarithms. This manuscript ...
• #### An Identification Therorem for PSU6(2) and its Automorphism Groups ﻿

[OWP-2011-08] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-10)
We identify the groups PSU6(2), PSU6(2):2, PSU6(2):3 and Aut(PSU6(2)) from the structure of the centralizer of an element of order 3.
• #### 2-Minimal Subgroups in Classical Groups: Linear and Unitary Groups ﻿

[OWP-2011-09] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-11)
• #### Cluster structures on simple complex lie groups and the Belavin-Drinfeld classification ﻿

[OWP-2011-10] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-12)
We study natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structutures compatible with these cluster structures. According to our main conjecture, each class in the ...
• #### Averages of Shifted Convolutions of d3(n) ﻿

[OWP-2011-11] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-13)
We investigate the first and second moments of shifted convolutions of the generalised divisor function $d_3(n)$.
• #### Asymptotic behavior of the eigenvalues and eigenfunctions to a spectral problem in thick cascade junction with concentrated masses ﻿

[OWP-2011-12] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-14)
The asymptotic behavior (as $\varepsilon \to 0$) of eigenvalues and eigenfunctions of a boundaryvalue problem for the Laplace operator in a thick cascade junction with concentrated masses is investigated. This cascade ...
• #### Definable orthogonality classes in accessible categories are small ﻿

[OWP-2011-14] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-15)
We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopenka's principle. We prove that the necessary ...
• #### Formal adjoints of linear DAE operators and their role in optimal control ﻿

[OWP-2011-15] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-16)
For regular strangeness-free linear differential-algebraic equations (DAEs) the definition of an adjoint DAE is straightforward. This definition can be formally extended to general linear DAEs. In this paper, we analyze ...