Results 71 to 80 of about 8,796 (232)
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
On the hypersurface of Lüroth quartics
Michigan Mathematical Journal, 2010 The hypersurface of Luroth quartic curves inside the projective space of plane quartics has degree 54. We give a proof of this fact along the lines outlined in a paper by Morley, published in 1919. Another proof has been given by Le Potier and Tikhomirov in 2001, in the setting of moduli spaces of vector bundles on the projective plane.
OTTAVIANI, GIORGIO MARIA, E. Sernesi
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Torus hypersurface in 4-space [PDF]
, 2018 We consider torus hypersurface in the four dimensional Euclideanspace E4. We give some basic notions of E4, then we define rotational hypersur-face.
Güler, Erhan, Kişi, Ömer
core
On a Hopf hypersurface of a complex space form [PDF]
, 2010 We prove that if the sectional curvatures for plane sections containing the structure vector field of a real hypersurface in a complex space form are equal to the same constant at every point, then the real hypersurface is a Hopf hypersurface.
Kon, Mayuko
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Isoparametric and Dupin Hypersurfaces
Symmetry, Integrability and Geometry: Methods and Applications, 2008 A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
doaj +1 more source
Energy and Planarity in Boron‐Nitrogen Fulvene Isomers: A Quantum‐Chemical and QSPR Study
International Journal of Quantum Chemistry, Volume 126, Issue 15, August 5, 2026.Electronic structure quantum‐chemical computations and Quantitative Structure–Property Relationships (QSPR) regression and classification models are used as complementary tools for classifying unknown boron‐nitrogen fulvene isomers with respect to energy order and planarity.
Gustavo E. Massaccesi +7 more
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Mathematics of ComputationLet F ∈ Z
Andreas-Stephan Elsenhans, Michael Stoll
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On hypersurfaces in a locally affine Riemannian Banach manifold II
International Journal of Mathematics and Mathematical Sciences, 2004 In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
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Special relativity on the light-front
Revista Brasileira de Ensino de Física, 2021 P.A.M. Dirac in 1949 showed that it is possible to construct relativistic dynamic forms starting from the description of the initial state of a given relativistic system in any space-time surface whose distances between two points on this hypersurface ...
Jorge Henrique Sales +3 more
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On the positivity and integrality of coefficients of mirror maps
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We present natural conjectural generalisations of the ‘positivity and integrality of mirror maps’ phenomenon, encompassing the mirror maps appearing in the Batyrev–Borisov construction of mirror Calabi–Yau complete intersections in Fano toric varieties as a special case.
Sophie Bleau, Nick Sheridan
wiley +1 more source