Results 51 to 60 of about 618,969 (208)
An algebraic geometry perspective on topological data analysis [PDF]
arXiv, 2020 A short survey on applications of algebraic geometry in topological data analysis.
arxiv
Erasure List-Decodable Codes from Random and Algebraic Geometry Codes
, 2014 Erasure list decoding was introduced to correct a larger number of erasures with output of a list of possible candidates. In the present paper, we consider both random linear codes and algebraic geometry codes for list decoding erasure errors.
Ding, Yang, Jin, Lingfei, Xing, Chaoping
core +1 more source
Algebraic geometry over algebraic structures II: Foundations [PDF]
, 2011 In this paper we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove Unification Theorems which gather the description of coordinate algebras by several ways.Comment: 55 ...
Daniyarova, Evelina +2 more
core
Noncommutative geometry of algebraic curves
, 2009 A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady ...
Nikolaev, Igor
core +2 more sources
Lectures notes in universal algebraic geometry [PDF]
arXiv, 2016 Lectures notes in universal algebraic geometry for ...
arxiv
Seven Lectures on the Universal Algebraic Geometry [PDF]
arXiv, 2002 Some notions of algebraic geometry can be defined for arbitrary varieties of algebras. This leads to universal algebraic geometry. The main idea of the presented theory is to consider interactions between algebra, logic and geometry in algebras from a given variety of algebras.
arxiv
Algebras with the same (algebraic) geometry [PDF]
arXiv, 2002 Some basic notions of classical algebraic geometry can be defined in arbitrary varieties of algebras $\Theta.$ For every algebra $H$ in $\Theta$ one can consider algebraic geometry in $\Theta$ over $ H.$ Correspondingly, algebras in $\Theta$ are considered with the emphasis on equations and geometry. We give examples of geometric properties of algebras
arxiv
Algebraic Geometry over Lie Algebras [PDF]
arXiv, 2006 This is a survey paper on Alegbraic Geometry over Lie ...
arxiv
Determination of the number of texture segments using wavelets
Electronic Journal of Differential Equations, 2001 This paper presents a robust method of determining the number of texture segments in an image. We take an $N imes N$ image and decompose it into $n imes n$ blocks.
Joseph P. Havlicek, Peter C. Tay
doaj
Rationality in Differential Algebraic Geometry [PDF]
arXiv, 2014 Parametric Cartan theory of exterior differential systems, and explicit cohomology of projective manifolds reveal united rationality features of differential algebraic geometry.
arxiv