Results 31 to 40 of about 602,711 (60)
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
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
Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry [PDF]
, 2012 We prove a general result about the geometry of holomorphic line bundles over Kahler manifolds.
arxiv +1 more source
What can be computed in algebraic geometry? [PDF]
arXiv, 1993 This paper is a survey of computational issues in algebraic geometry, with particular attention to the theory of Grobner bases and the regularity of an algebraic variety. 1. A geometric introduction to Grobner bases. 2. An algebraic introduction to Grobner bases. 3. Bounds in algebraic geometry, and regularity and complexity questions.
arxiv
Unification theorems in algebraic geometry [PDF]
arXiv, 2008 In this paper, for a given finitely generated algebra (an algebraic structure with arbitrary operations and no predicates) A we study finitely generated limit algebras of A, approaching them via model theory and algebraic geometry. Along the way we lay down foundations of algebraic geometry over arbitrary algebraic structures.
arxiv
On $CR$ mappings between algebraic Cauchy--Riemann manifolds and separate algebraicity for holomorphic functions [PDF]
arXiv, 1994 We prove the algebraicity of smooth $CR$-mappings between algebraic Cauchy--Riemann manifolds. A generalization of separate algebraicity principle is established.
arxiv
Augmented Homotopical Algebraic Geometry
, 2017 We develop the framework for augmented homotopical algebraic geometry. This is an extension of homotopical algebraic geometry, which itself is a homotopification of classical algebraic geometry.
Balchin, Scott
core
Noncommutative projective geometry [PDF]
Proceedings of the ICM, Beijing 2002, vol. 2, 93--104, 2003 This article describes recent applications of algebraic geometry to noncommutative algebra. These techniques have been particularly successful in describing graded algebras of small dimension.
arxiv
Bridges Between Subriemannian Geometry and Algebraic Geometry
, 2014 We consider how the problem of determining normal forms for a specific class of nonholonomic systems leads to various interesting and concrete bridges between two apparently unrelated themes.
Castro, Alex L +2 more
core