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Algebraic ship hull surfaces with a main frame from three plane curves in coordinate planes
RUDN Journal of Engineering Research, 2022 One of the important problems of naval architects and designers is a choice of rational ship hull shape. A choice of ship hull form is based often on empirical formulae or on designers’ intuition.
Sergey N. Krivoshapko
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Generating hydrodynamic surfaces by families of Lame curves for modelling submarine hulls
RUDN Journal of Engineering Research, 2022 This paper investigates the construction of hydrodynamic surfaces, which are defined by algebraic equations and describe the theoretical hull of a vessel. A technique for automation of generating hydrodynamic surfaces is proposed.
Valery V. Karnevich
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Ruled algebraic surfaces with a main frame from three superellipses
Structural Mechanics of Engineering Constructions and Buildings, 2022 An opportunity of conversion of algebraic surfaces with a main frame from three superellipses of general type into ruled surfaces of several views is shown. It is necessary to take one, two, or all of three superellipses in the form of a rhombus, i.e. it
Iraida A. Mamieva
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Axioms, 2021 We consider the Enneper family of real maximal surfaces via Weierstrass data (1,ζm) for ζ∈C, m∈Z≥1. We obtain the irreducible surfaces of the family in the three dimensional Minkowski space E2,1.
Erhan Güler
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Structural Mechanics of Engineering Constructions and Buildings, 2023 The author presents the results of a study of the geometry and stress-strain state of a surface with a frame of three flat curves in coordinate planes, which have found application today mainly in the shipbuilding industry.
Olga O. Aleshina
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Hydrodynamic surfaces with midsection in the form of Lame curve
RUDN Journal of Engineering Research, 2021 General representation of ship geometry is given by the method of slicing the ship hull by three mutually perpendicular planes: vertical symmetry plane which runs along the middle of hull width, horizontal plane which divides the hull into underwater and
Valery V. Karnevich
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Application of Orthogonal Polynomial in Orthogonal Projection of Algebraic Surface
Axioms, 2022 Point orthogonal projection onto an algebraic surface is a very important topic in computer-aided geometric design and other fields. However, implementing this method is currently extremely challenging and difficult because it is difficult to achieve to ...
Xudong Wang, Xiaowu Li, Yuxia Lyu
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Non-linear bi-algebraic curves and surfaces in moduli spaces of Abelian differentials
Comptes Rendus. Mathématique, 2023 The strata of the moduli spaces of Abelian differentials are non-homogenous spaces carrying natural bi-algebraic structures. Partly inspired by the case of homogenous spaces carrying bi-algebraic structures (such as torii, Abelian varieties and Shimura ...
Deroin, Bertrand, Matheus, Carlos
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CM liftings of $K3$ surfaces over finite fields and their applications to the Tate conjecture
Forum of Mathematics, Sigma, 2021 We give applications of integral canonical models of orthogonal Shimura varieties and the Kuga-Satake morphism to the arithmetic of $K3$ surfaces over finite fields.
Kazuhiro Ito +2 more
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On an Isomorphism of Compactifications of Moduli Scheme of Vector Bundles
Моделирование и анализ информационных систем, 2015 A morphism of the reduced Gieseker - Maruyama moduli functor (of semistable coherent torsion-free sheaves) on the surface to the reduced moduli functor of admissible semistable pairs with the same Hilbert polynomial, is constructed. It is shown that main
N. V. Timofeeva
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