Results 31 to 40 of about 233,188 (306)
Note on absolute sets of rigid local systems
Comptes Rendus. Mathématique, 2022 In this note we give a description up to a quasi-finite morphism of the absolute sets of simple cohomologically rigid local systems on a smooth complex quasi-projective algebraic variety.
Budur, Nero +2 more
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Algebraic varieties are homeomorphic to varieties defined over number fields
, 2019 We show that every affine or projective algebraic variety defined over the field of real or complex numbers is homeomorphic to a variety defined over the field of algebraic numbers. We construct such a homeomorphism by choosing a small deformation of the
Parusinski, Adam, Rond, Guillaume
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Interior Algebras and Varieties
Journal of Algebra, 1999 1. INTRODUCTIONWe define interior algebras, which are natural generalizations of Booleanrings equipped with an interior operator and of equality algebras. We char-acterize interior algebras in terms of a distinguished subsemilattice. Fullyinterior algebras, in which the subsemilattice consists of all idempotents,are generalizations of Boolean rings and ...
Kelarev, A.V., Stokes, T.
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Knowledgebra: An Algebraic Learning Framework for Knowledge Graph
Machine Learning and Knowledge Extraction, 2022 Knowledge graph (KG) representation learning aims to encode entities and relations into dense continuous vector spaces such that knowledge contained in a dataset could be consistently represented.
Tong Yang +4 more
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Algebraic Stein Varieties [PDF]
Mathematical Research Letters, 2008 16 pages, revised version, accepted by Mathematical Research ...
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On projections of real algebraic varieties [PDF]
Pacific Journal of Mathematics, 1986 In this paper we generalize an earlier result of the authors, showing that any closed semialgebraic set whose Zariski-closure is irreducible, is the projection under a finite map of an irreducible real algebraic set (see Theorem 3.2 below).
Andradas, C., Gamboa, J. M.
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Phenomenological rate-independent uniaxial hysteretic models: A mini-review
Frontiers in Built Environment, 2022 A great variety of phenomenological models has been proposed over the years to model rate-independent hysteretic forces in structural mechanics. The classification of such models is usually based on the type of equation that needs to be solved to ...
Raffaele Capuano +2 more
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The space of arcs of an algebraic variety
, 2017 The paper surveys several results on the topology of the space of arcs of an algebraic variety and the Nash problem on the arc structure of singularities.Comment: 29 pages; v3 corrects some typos.
de Fernex, Tommaso
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Parametric Expansions of an Algebraic Variety Near Its Singularities II
AxiomsThe paper is a continuation and completion of the paper Bruno, A.D.; Azimov, A.A. Parametric Expansions of an Algebraic Variety Near Its Singularities.
Alexander D. Bruno, Alijon A. Azimov
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Approximation by piecewise-regular maps
, 2019 A real algebraic variety W of dimension m is said to be uniformly rational if each of its points has a Zariski open neighborhood which is biregularly isomorphic to a Zariski open subset of R^m. Let l be any nonnegative integer. We prove that every map of
Bilski, Marcin, Kucharz, Wojciech
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