Covering Rational Surfaces with Rational Parametrization Images [PDF]
Mathematics, 2021 Let S be a rational projective surface given by means of a projective rational parametrization whose base locus satisfies a mild assumption. In this paper we present an algorithm that provides three rational maps f,g,h:A2⇢S⊂Pn such that the union of the ...
Jorge Caravantes +3 more
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Rainbow‐Colored Carbon Nanotubes via Rational Surface Engineering for Smart Visualized Sensors [PDF]
Advanced Science, 2023 Surface engineering is effective for developing materials with novel properties, multifunctionality, and smart features that can enable their use in emerging applications.
Jing Zhang +11 more
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Rational Surface Modification of Two-Dimensional Layered Black Phosphorus: Insights from First-Principles Calculations [PDF]
ACS Omega, 2018 Tong Mou, Bin Wang
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The Cohomological Genus and Symplectic Genus for 4-Manifolds of Rational or Ruled Types
Mathematics, 2021 An important problem in low dimensional topology is to understand the properties of embedded or immersed surfaces in 4-dimensional manifolds. In this article, we estimate the lower genus bound of closed, connected, smoothly embedded, oriented surfaces in
Bo Dai, Chung-I Ho
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Weighted Projective Lines and Rational Surface Singularities [PDF]
Épijournal de Géométrie Algébrique, 2020 In this paper we study rational surface singularities R with star shaped dual graphs, and under very mild assumptions on the self-intersection numbers we give an explicit description of all their special Cohen-Macaulay modules.
Osamu Iyama, Michael Wemyss
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On the motive of O'Grady's six dimensional hyper-K\"{a}hler varieties [PDF]
Épijournal de Géométrie Algébrique, 2023 We prove that the rational Chow motive of a six dimensional hyper-K\"{a}hler variety obtained as symplectic resolution of O'Grady type of a singular moduli space of semistable sheaves on an abelian surface $A$ belongs to the tensor category of motives ...
Salvatore Floccari
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Designing Developable C-Bézier Surface with Shape Parameters
Mathematics, 2020 Developable surface plays an important role in geometric design, architectural design, and manufacturing of material. Bézier curve and surface are the main tools in the modeling of curve and surface.
Caiyun Li, Chungang Zhu
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The selection and development of tribological coating
Проблеми трибології, 2021 The strategy and methodology for selecting of optimal surface treatment for a given tribological application are the main objectives of study. The classification of main methods of coating processes and surface modification is given.
Y. Kharlamov +3 more
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Convergence of the mirror to a rational elliptic surface
Transactions of the London Mathematical Society, 2021 The construction introduced by Gross, Hacking and Keel in (Several Complex Variables (Springer, New York, NY, 1976))allows one to construct a formal mirror family to a pair (S,D) where S is a smooth rational projective surface and D a certain type of ...
Lawrence Jack Barrott
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The μ-Basis of Improper Rational Parametric Surface and Its Application
Mathematics, 2021 The μ-basis is a newly developed algebraic tool in curve and surface representations and it is used to analyze some essential geometric properties of curves and surfaces.
Sonia Pérez-Díaz, Li-Yong Shen
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