Results 131 to 140 of about 91,366 (255)
Hypersurface model-fields of definition for smooth hypersurfaces and their twists [PDF]
arXiv, 2018 Given a smooth projective variety of dimension $n-1\geq 1$ defined over a perfect field $k$ that admits a non-singular hypersurface modelin $\mathbb{P}^n_{\overline{k}}$ over $\overline{k}$, a fixed algebraic closure of $k$, it does not necessarily have a non-singular hypersurface model defined over the base field $k$.
arxiv
Sur des hypersurfaces et quelques groupes d'isométries d'un espace riemannien [PDF]
, 1958 Tadashi Nagano
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Curvatures of the Factorable Hypersurface
Journal of Advances in Mathematics and Computer Science, 2020 The curvatures of a factorable hypersurface are introduced in the four-dimensional Euclidean space. It is also given some relations on of the factorable hypersurface.
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Some Integral Formulas for the (r + 1)th Mean Curvature of a Closed Hypersurface
International Journal of Mathematics and Mathematical Sciences, 2012 By using the operator 𝐿𝑟, we define the notions of rth order and rth type of a Euclidean hypersurface. By the use of these notions, we are able to obtain some sharp estimates of the (𝑟+1)th mean curvature for a closed hypersurface of the Euclidean space ...
Akram Mohammadpouri, S. M. B. Kashani
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Closed points on cubic hypersurfaces [PDF]
arXiv, 2019 We generalize some results of Coray on closed points on cubic hypersurfaces. We show certain symmetric products of cubic hypersurfaces are stably birational.
arxiv
The web of quadric hypersurfaces in 𝑟 dimensions [PDF]
, 1935 T. R. Hollcroft
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Hypersurfaces and the Weil Conjectures [PDF]
International Mathematics Research Notices, 2010 We give a proof that the Riemann hypothesis for hypersurfaces over finite fields implies the result for all smooth proper varieties, by a deformation argument which does not use the theory of Lefschetz pencils or the l-adic Fourier transform.
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On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]
J Geom Anal, 2023 Branding V.
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Fano varieties and linear sections of hypersurfaces [PDF]
arXiv, 2006 Under a hypothesis on $k$, $d$ and $n$ that is almost the best possible, we prove that for every smooth degree $d$ hypersurface in $P^n$, the $k$-plane sections dominate the moduli space of degree $d$ hypersurface in $P^k$. Using this we prove rational simple connectedness of every smooth degree $d$ hypersurface in $P^n$, under a suitable hypothesis ...
arxiv