Results 41 to 50 of about 91,052 (253)
Monodromy of projections of hypersurfaces [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2021 AbstractLet X be an irreducible, reduced complex projective hypersurface of degree d. A point P not contained in X is called uniform if the monodromy group of the projection of X from P is isomorphic to the symmetric group $$S_d$$ S d . We prove that the locus
Cifani M. G., Cuzzucoli A., Moschetti R.
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Bernstein-type theorems in hypersurfaces with constant mean curvature
Anais da Academia Brasileira de Ciências, 2000 By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
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On the resultant hypersurface [PDF]
Pacific Journal of Mathematics, 1990 The resultant R(f,g) of two polynomials f and g is an irreducible polynomial such that R(f,g) = 0 if and only if the equations f = 0 and g = 0 have one common root. When g = f′∕p, then D(f) = R(f,g) is called the discriminant of f and the discriminant hypersurface Dp = {f ∈ Cp,D(f) = 0} can be identified to the discriminant of a versal deformation of ...
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Convexity of 𝜆-hypersurfaces [PDF]
Proceedings of the American Mathematical Society, 2022 We prove that any n n -dimensional closed mean convex λ \lambda - hypersurface is convex if λ ≤ 0. \lambda \le 0. This generalizes Guang’s work on 2 2 -dimensional strictly mean convex λ \lambda -hypersurfaces.
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Biconservative hypersurfaces with constant scalar curvature in space forms [PDF]
arXiv, 2021 Biconservative hypersurfaces are hypersurfaces which have conservative stress-energy tensor with respect to the bienergy, containing all minimal and constant mean curvature hypersurfaces. The purpose of this paper is to study biconservative hypersurfaces $M^n$ with constant scalar curvature in a space form $N^{n+1}(c)$.
arxiv
Skeleta of affine hypersurfaces [PDF]
Geometry & Topology, 2014 A smooth affine hypersurface Z of complex dimension n is homotopy equivalent to an n-dimensional cell complex. Given a defining polynomial f for Z as well as a regular triangulation of its Newton polytope, we provide a purely combinatorial construction of a compact topological space S as a union of components of real dimension n, and prove that S ...
Ruddat H. +3 more
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Normalization of Norden — Chakmazyan for distributions given on a hypersurface
Дифференциальная геометрия многообразий фигур, 2020 In the projective space, we continue to study a hypersurface with three strongly mutual distributions. For equipping distributions of a hypersurface, normalization in the sense of Norden — Chakmazyan is introduced internally.
N.A. Eliseeva
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Coisotropic hypersurfaces in Grassmannians [PDF]
Journal of Symbolic Computation, 2021 22 ...
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Mapped Null Hypersurfaces and Legendrian Maps
, 2007 For an $(m+1)$-dimensional space-time $(X^{m+1}, g),$ define a mapped null hypersurface to be a smooth map $\nu:N^{m}\to X^{m+1}$ (that is not necessarily an immersion) such that there exists a smooth field of null lines along $\nu$ that are both tangent
Beem +11 more
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