Results 21 to 30 of about 602,711 (60)
Lagrangian geometry of algebraic varieties [PDF]
arXiv, 2021 Every algebraic variety can be regarded as a symplectic manifold being equipped with a Kahler form. Therefore it is natural to study lagrangian geometry of any algebraic variety. We present two basic constructions which can be applied to a sufficiently wide set of algebraic varieties.
arxiv
Phylogenetic Algebraic Geometry [PDF]
, 2004 Phylogenetic algebraic geometry is concerned with certain complex projective algebraic varieties derived from finite trees. Real positive points on these varieties represent probabilistic models of evolution.
Eriksson, Nicholas +3 more
core
Derived Algebraic Geometry [PDF]
, 2014 This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.Comment: Final version.
Toën, Bertrand
core
Algebraic geometry in mixed characteristic [PDF]
arXiv, 2021 Fix a prime number $p$. We report on some recent developments in algebraic geometry (broadly construed) over $p$-adically complete commutative rings. These developments include foundational advances within the subject as well as external applications.
arxiv
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