Results 111 to 120 of about 7,730 (247)
Tutorial: Model Theory, Quantifier Elimination and Differential Algebra - 1
, 2020 I will introduce the basic notions on model theory focusing on effective methods such as quantifier elimination and discuss applications to algebraic theory of differential equations.Non UBCUnreviewedAuthor affiliation: University of Illinois at ...
Marker, David
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Hilbert's Basis Theorem for Poisson Ore Extensions
Mathematische Nachrichten, EarlyView.ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck +3 more
wiley +1 more source
Algebraic aspects of web geometry
, 2000 Algebraic aspects of web geometry, namely its connections with the quasigroup and loop theory, the theory of local differential quasigroups and loops, and the theory of local algebras are ...
Akivis, Maks A., Goldberg, Vladislav V.
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A Boothby–Wang Construction in Generalized Contact Geometry
Mathematische Nachrichten, EarlyView.ABSTRACT We establish a generalized analogue of the Boothby–Wang theorem in generalized contact geometry, along with related results. We present a general method for constructing examples of generalized contact structures that are not of Poon–Wade type, and even examples that fail to be generalized contact structures.
Debjit Pal
wiley +1 more source
Differential and complex geometry origins, abstractions and embeddings
, 2017 Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to ...
Raymond O. Wells,, Wells, Jr , Raymond O
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Unexpected Primes of Good Reduction in Quotients of Modular and Shimura Curves
Mathematische Nachrichten, EarlyView.ABSTRACT We find all zero‐dimensional spaces of newforms of weight 2 and squarefree level N$N$ with a fixed Atkin–Lehner sign pattern. As an application, we classify unexpected primes of good reduction of Atkin–Lehner quotients of modular and Shimura curves of squarefree levels.
Oana Padurariu +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
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On Geometric Phase Model in the Theory of Curves With Myller Configuration
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
wiley +1 more source
Connecting scalar amplitudes using the positive tropical Grassmannian
Journal of High Energy PhysicsThe biadjoint scalar partial amplitude, m n I I $$ {m}_n\left(\mathbbm{I},\mathbbm{I}\right) $$ , can be expressed as a single integral over the positive tropical Grassmannian thus producing a Global Schwinger Parameterization.
Freddy Cachazo, Bruno Giménez Umbert
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Geometrical aspects of spinor and twistor analysis [PDF]
This work is concerned with two examples of the interactions between differential geometry and analysis, both related to spinors. The first example is the Dirac operator on conformal spin manifolds with boundary.
Calderbank, David M. J.
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