Results 41 to 50 of about 26,299 (168)
On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Witt groups of complex cellular varieties [PDF]
We show that the Grothendieck-Witt and Witt groups of smooth complex cellular varieties can be identified with their topological KO-groups. As an application, we deduce the values of the Witt groups of all irreducible hermitian symmetric spaces ...
Zibrowius, Marcus
core
A Vulnerability Lens for Intuitive‐Logic Scenarios
ABSTRACT Exploration of possibilities by means of intuitive logic is hampered by a large number of scenarios, which easily exceed the limits imposed by human bounded rationality. While many practitioners constrain their scenarios within a 2 × 2 $2\times 2$ matrix by design, more structured approaches point to rationales such as eliminating ...
Guido Fioretti
wiley +1 more source
A Positivstellensatz for projective real varieties
Given two positive definite forms f, g in R[x_0,...,x_n], we prove that fg^N is a sum of squares of forms for all sufficiently large N >= 0. We generalize this result to projective R-varieties X as follows.
Scheiderer, Claus
core +1 more source
Opening the Black Box of EU Digital Sovereignty: A Macro‐Level Analysis of the Concept's Development
ABSTRACT Digital sovereignty has emerged as a central organizing principle in European Union governance, yet systematic understanding of its conceptual evolution remains limited. This article provides the first macro‐level analysis of how digital sovereignty evolves across institutional and academic domains.
Aleksei Turobov +2 more
wiley +1 more source
WDVV‐based recursion for open Gromov–Witten invariants
Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley +1 more source
Some Concepts of Modern Algebraic Geometry: Point, Ideal and Homomorphism [PDF]
Starting from classical algebraic geometry over the complex numbers (as it can be found for example in Griffiths and Harris it was the goal of these lectures to introduce some concepts of the modern point of view in algebraic geometry.
Schlichenmaier, Martin
core +2 more sources
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
ABSTRACT The focus on wind power frequency regulation has largely been on individual wind farms, which presents challenges in meeting the coordinated operation needs of multiple stations within large‐scale installations. To address issues of model simplification and accuracy, we propose a large‐scale wind farm equivalent modeling method based on ...
Hongchun Shu +4 more
wiley +1 more source
Formalized proof, computation, and the construction problem in algebraic geometry [PDF]
An informal discussion of how the construction problem in algebraic geometry motivates the search for formal proof methods. Also includes a brief discussion of my own progress up to now, which concerns the formalization of category theory within a ZFC ...
Simpson, Carlos T.
core

