Results 11 to 20 of about 235,731 (326)
Algebraic Correspondences between Algebraic Varieties [PDF]
Journal of the Mathematical Society of Japan, 1951 Über dem komplexen Zahlkörper als Konstantenkörper werden zwei vollständige (complete) MannigfaItigkeiten \(U\) und \(V\) betrachtet. Ein Divisor \(X\) von \(U\times V\) wird \glqq Korrespondenz\grqq{} zwischen \(U\) und \(V\) genannt. \(X\) heißt von der Wertigkeit \(0\), wenn er die Form besitzt: \(X = Y_1 \times U\times Y_2 + (\varphi)\), wo \(Y_1\)
Jun-ichi Igusa
openalex +4 more sources
Algebras and Representation Theory, 2020 AbstractIn this paper we introduce new affine algebraic varieties whose points correspond to associative algebras. We show that the algebras within a variety share many important homological properties. In particular, any two algebras in the same variety have the same dimension.
Green, Edward L. +2 more
openaire +4 more sources
Efficient calculation of all steady states in large-scale overlapping generations models [PDF]
Mathematics and Modeling in Finance, 2023 In this paper, we address the problem of analyzing and computing all steady states of an overlapping generation (OLG) model with production and many generations.
Monireh Riahi +3 more
doaj +1 more source
Classification of Algebraic Varieties [PDF]
, 2010 Fascinating and surprising developments are taking place in the classification of algebraic varieties. Work of Hacon and McKernan and many others is causing a wave of breakthroughs in the Minimal Model Program: we now know that for a smooth projective variety the canonical ring is finitely generated.
Faber, C. +2 more
openaire +3 more sources
Homotopical Algebraic Context over Differential Operators [PDF]
, 2017 Building on previous works, we show that the category of non-negatively graded chain complexes of $D_X$-modules -- where $X$ is a smooth affine algebraic variety over an algebraically closed field of characteristic zero -- fits into a homotopical ...
Di Brino, Gennaro +2 more
core +2 more sources
On Endomorphisms of Algebraic Varieties
International Mathematics Research Notices, 2021 Abstract Consider an endomorphism of an algebraic variety over an algebraically closed field of characteristic zero that is injective on the complement of a proper closed subvariety. We prove that such an endomorphism is an automorphism, provided the morphism is quasi-finite.
openaire +2 more sources
Vector bundles and blowups [PDF]
, 2017 Let X be a nonsingular quasi-projective complex algebraic variety and let E be an algebraic vector bundle on X of rank r ≥ 2. The pullback of E by the blowup of X at a suitably chosen nonsingular subvariety of X of codimension r contains a line subbundle
Jelonek, Zbigniew +2 more
core +2 more sources
Cylindrical Algebraic Sub-Decompositions [PDF]
, 2014 Cylindrical algebraic decompositions (CADs) are a key tool in real algebraic geometry, used primarily for eliminating quantifiers over the reals and studying semi-algebraic sets.
Bradford, R. J. +3 more
core +4 more sources
On singularities of real algebraic sets and applications to kinematics
Open Mathematics, 2020 We address the question of identifying non-smooth points in Vℝ(I){{\bf{V}}}_{{\mathbb{R}}}(I) the real part of an affine algebraic variety. Two simple algebraic criteria will be formulated and proven.
Diesse Marc
doaj +1 more source
Projective varieties have countably many real forms
Comptes Rendus. Mathématique, 2023 In this note, we check that a complex projective algebraic variety has (at most) countably many real forms. We more generally prove it when the field of reals is replaced with a field that has only countably many finite extensions up to isomorphism.
Labinet, Timothée L.
doaj +1 more source