Results 21 to 30 of about 233,188 (306)
Algebraic Legendrian varieties [PDF]
Dissertationes Mathematicae, 2009 Real Legendrian subvarieties are classical objects of differential geometry and classical mechanics and they have been studied since antiquity. However, complex Legendrian subvarieties are much more rigid and have more exceptional properties. The most remarkable case is the Legendrian subvarieties of projective space and prior to the author's research ...
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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.
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Ax-Schanuel condition in arbitrary characteristic [PDF]
, 2017 We prove a positive characteristic version of Ax's theorem on the intersection of an algebraic subvariety and an analytic subgroup of an algebraic group.
Kowalski, Piotr
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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
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Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension
Forum of Mathematics, Pi, 2022 We study the Hodge filtration on the local cohomology sheaves of a smooth complex algebraic variety along a closed subscheme Z in terms of log resolutions and derive applications regarding the local cohomological dimension, the Du Bois complex, local ...
Mircea Mustaţă, Mihnea Popa
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Logical Methods in Computer Science, 2020 We introduce a class of algebras that can be used as recognisers for regular tree languages. We show that it is the only such class that forms a pseudo-variety and we prove the existence of syntactic algebras.
Achim Blumensath
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Entropy, 2021 We extend the operational matrices technique to design a spectral solution of nonlinear fractional differential equations (FDEs). The derivative is considered in the Caputo sense.
Hammad Khalil +3 more
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Rational smoothness and affine Schubert varieties of type A [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 The study of Schubert varieties in G/B has led to numerous advances in algebraic combinatorics and algebraic geometry. These varieties are indexed by elements of the corresponding Weyl group, an affine Weyl group, or one of their parabolic quotients ...
Sara Billey, Andrew Crites
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A New Family of Boolean Functions with Good Cryptographic Properties
Axioms, 2021 In 2005, Philippe Guillot presented a new construction of Boolean functions using linear codes as an extension of the Maiorana–McFarland’s (MM) construction of bent functions.
Guillermo Sosa-Gómez +3 more
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Norms on intuitionistic fuzzy multigroups [PDF]
Yugoslav Journal of Operations Research, 2021 In this paper, we propose the notion of intuitionistic fuzzy multigroups under norms (t-norm T and t-conorm C) and study the variety of their algebraic structure. Next, we define the inverse, product, intersection and the sum of them.
Rasuli Rasul
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