Results 81 to 90 of about 2,347,014 (288)
Algorithms in Algebraic Geometry
, 2008 In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric computation. Some of these algorithms were originally designed for abstract algebraic geometry, but now are of interest for
Dickenstein, Alicia +2 more
core +1 more source
Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke +3 more
wiley +1 more source
MATHEMATICS OF THE FÂ: CASE OF ALGEBRA AND GEOMETRY
Universal Journal of Mathematics and Mathematical Sciences, 2021 d’ALMEIDA Zokpé Zoki +1 more
openaire +1 more source
Purely Coclosed G2‐Structures on Nilmanifolds—II
Mathematische Nachrichten, EarlyView.ABSTRACT This paper completes the classification of seven‐dimensional nilpotent Lie groups endowed with a left‐invariant purely coclosed G2$\text{G}_2$‐structure, initiated in Bazzoni et al. [Mathematische Nachrichten 296 no. 6 (2023): 2236–2257], the authors provided the classification of decomposable seven‐dimensional nilpotent Lie groups and of the ...
Giovanni Bazzoni, Giorgia Petracci
wiley +1 more source
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
Introduction to Derived Algebraic Geometry
openDerived Algebraic Geometry arises from the interplay between classical algebraic geometry, homotopy theory, and higher category theory. Building on the work of Grothendieck, Verdier, and Illusie, the theory developed through Quillen’s homotopical ...
DE PIERI, JACOPO
core
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
wiley +1 more source
The geometry of independence tree models with hidden variables [PDF]
, 2010 In this paper we investigate the geometry of undirected discrete graphical models of trees when all the variables in the system are binary, where leaves represent the observable variables and where the inner nodes are unobserved.
Zwiernik, Piotr, Smith, J. Q.
core
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
Unveiling Mathematical Elegance: Exploring The Synergy Between Algebra and Geometry
AL-ISHLAH: Jurnal PendidikanIn today’s dynamic and complex society, the ability to represent mathematical concepts and solve real-world problems is essential for mathematics education students. This study explores how algebraic and geometric representations can be synergized to solve environmental problems commonly faced in everyday life, particularly through the “builder’s ...
Muhammad Aswal Anshari +2 more
openaire +1 more source