Browsing 1  Oberwolfach Preprints (OWP) by Title
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Counting Curves on Toric Surfaces Tropical Geometry & the Fock Space
[OWP201718] (Mathematisches Forschungsinstitut Oberwolfach, 20170717)We study the stationary descendant Gromov–Witten theory of toric surfaces by combining and extending a range of techniques – tropical curves, floor diagrams, and Fock spaces. A correspondence theorem is established between ... 
Coxeter Arrangements and Solomon's Descent Algebra
[OWP201103] (Mathematisches Forschungsinstitut Oberwolfach, 2011056) 
Criteria for Algebraicity of Analytic Functions
[OWP201825] (Mathematisches Forschungsinstitut Oberwolfach, 20181112)We consider functions defined on an open subset of a nonsingular, either real or complex, algebraic set. We give criteria for an analytic function to be a Nash (resp. regular, resp. polynomial) function. Our criteria depend ... 
Cryptanalysis of Publickey Cryptosystems Based on Algebraic Geometry Codes
[OWP201201] (Mathematisches Forschungsinstitut Oberwolfach, 20120320)This paper addresses the question of retrieving the triple $(\mathcal{X},\mathcal{P},\mathcal{E})$ from the algebraic geometry code $\mathcal{C}_L(\mathcal{X},\mathcal{P},\mathcal{E})$, where $\mathcal{X}$ is an algebraic ... 
Crystal energy functions via the charge in types A and C
[OWP201125] (Mathematisches Forschungsinstitut Oberwolfach, 20110523)The RamYip formula for Macdonald polynomials (at $t=0$) provides a statistic which we call charge. In types $A$ and $C$ it can be defined on tensor products of KashiwaraNakashima single column crystals. In this ... 
Deciding NonFreeness of Rational Möbius Groups
[OWP202207] (Mathematisches Forschungsinstitut Oberwolfach, 20220322)We explore a new computational approach to a classical problem: certifying nonfreeness of (2generator, parabolic) Möbius subgroups of SL(2, $\mathbb{Q}$). The main tools used are algorithms for Zariski dense groups and ... 
Definable orthogonality classes in accessible categories are small
[OWP201114] (Mathematisches Forschungsinstitut Oberwolfach, 20110515)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 ... 
Deformation Classification of Real NonSingular Cubic Threefolds with a Marked Line
[OWP201802] (Mathematisches Forschungsinstitut Oberwolfach, 20180221)We prove that the space of pairs $(X,l)$ formed by a real nonsingular cubic hypersurface $X\subset P^4$ with a real line $l\subset X$ has 18 connected components and give for them several quite explicit interpretations. ... 
A Deformed Quon Algebra
[OWP201811] (Mathematisches Forschungsinstitut Oberwolfach, 20180625)The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and ... 
Demailly’s Notion of Algebraic Hyperbolicity: Geometricity, Boundedness, Moduli of Maps
[OWP201820] (Mathematisches Forschungsinstitut Oberwolfach, 20181008)Demailly's conjecture, which is a consequence of the GreenGriffithsLang conjecture on varieties of general type, states that an algebraically hyperbolic complex projective variety is Kobayashi hyperbolic. Our aim is to ... 
Demailly’s Notion of Algebraic Hyperbolicity: Geometricity, Boundedness, Moduli of Maps (Revised Edition)
[OWP201820.2] (Mathematisches Forschungsinstitut Oberwolfach, 20200123)Demailly's conjecture, which is a consequence of the GreenGriffthsLang conjecture on varieties of general type, states that an algebraically hyperbolic complex projective variety is Kobayashi hyperbolic. Our aim is to ... 
Detecting Ineffective Features for Pattern Recognition
[OWP201726] (Mathematisches Forschungsinstitut Oberwolfach, 20171017)For a binary classification problem, the hypothesis testing is studied, that a component of the observation vector is not effective, i.e., that component carries no information for the classification. We introduce nearest ... 
Diameter and Connectivity of Finite Simple Graphs II
[OWP202409] (Mathematisches Forschungsinstitut Oberwolfach, 20240905)Let $G$ be a finite simple noncomplete connected graph on $[n] = \{1, \ldots, n\}$ and $\kappa(G) \geq 1$ its vertex connectivity. Let $f(G)$ denote the number of free vertices of $G$ and $\mathrm{diam}(G)$ the diameter ... 
Diophantine Approximation in Metric Space
[OWP202107] (Mathematisches Forschungsinstitut Oberwolfach, 20210614)Diophantine approximation is traditionally the study of how well real numbers are approximated by rationals. We propose a model for studying Diophantine approximation in an arbitrary totally bounded metric space where the ... 
Dirichlet Approximation and Universal Dirichlet
[OWP201612] (Mathematisches Forschungsinstitut Oberwolfach, 20160816)We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge, Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and ... 
Discrete noncommutative integrability: the proof of a conjecture by M. Kontsevich
[OWP200924] (Mathematisches Forschungsinstitut Oberwolfach, 20090317)We prove a conjecture of Kontsevich regarding the solutions of rank two recursion relations for noncommutative variables which, in the commutative case, reduce to rank two cluster algebras of affine type. The conjecture ... 
Discrete Translates in Lp (R)
[OWP201509] (Mathematisches Forschungsinstitut Oberwolfach, 20150618)A set $\Lambda$ is called $p$spectral if there is a function $g \in L^p (\mathbb{R})$ such that all $\Lambda$translates $\{g(t\lambda),\lambda \in \Lambda\}$ span $L^p(\mathbb{R})$. We prove that exponentially small ... 
Discretization of Inherent ODEs and the Geometric Integration of DAEs with Symmetries
[OWP202210] (Mathematisches Forschungsinstitut Oberwolfach, 20220608)Discretization methods for differentialalgebraic equations (DAEs) are considered that are based on the integration of an associated inherent ordinary differential equation (ODE). This allows to make use of any discretization ... 
Dominance and Transmissions in Supertropical Valuation Theory
[OWP201107] (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 ... 
Drawing large pictures at random : Oberwolfach Lecture 2007
[OWP200708] (Mathematisches Forschungsinstitut Oberwolfach, 2007)This lecture is of very introductory nature. The goal will be to describe specific concrete questions, and to use them as a tool to convey some general ideas. Let me therefore skip the general introduction and immediately ...