Results 11 to 20 of about 8,796 (232)
On the resultant hypersurface [PDF]
Pacific Journal of Mathematics, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alla Ditta Choudary +1 more
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Journal of the Institute of Mathematics of Jussieu, 2020 AbstractThe following theorem, which includes as very special cases results of Jouanolou and Hrushovski on algebraic $D$-varieties on the one hand, and of Cantat on rational dynamics on the other, is established: Working over a field of characteristic zero, suppose $\unicode[STIX]{x1D719}_{1},\unicode[STIX]{x1D719}_{2}:Z\rightarrow X$ are dominant ...
Jason Bell, Rahim Moosa, Adam Topaz
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Bounding Projective Hypersurface Singularities [PDF]
, 2022 We first provide background necessary for understanding monodromy and spectra. We then compare several different methods involving Hodge-theoretic spectra of singularities which produce constraints on the number and type of isolated singularities on a ...
Castor, Benjamin
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Irreducibility of Hypersurfaces [PDF]
Communications in Algebra, 2009 Given a polynomial P in several variables over an algebraically closed field, we show that except in some special cases that we fully describe, if one coefficient is allowed to vary, then the polynomial is irreducible for all but at most deg(P)^2-1 values of the coefficient.
Bodin, Arnaud +2 more
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Implicitization of hypersurfaces
Journal of Symbolic Computation, 2017 We present new, practical algorithms for the hypersurface implicitization problem: namely, given a parametric description (in terms of polynomials or rational functions) of the hypersurface, find its implicit equation. Two of them are for polynomial parametrizations: one algorithm, "ElimTH", has as main step the computation of an elimination ideal via ...
ABBOTT, JOHN ANTHONY +2 more
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The topology of terminal quartic 3-folds [PDF]
, 2007 Let Y be a quartic hypersurface in P^4 with terminal singularities. The Grothendieck-Lefschetz theorem states that any Cartier divisor on Y is the restriction of a Cartier divisor on P^4 .
Kaloghiros, Anne-Sophie
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Hypersurfaces of cohomogeneity one and hypersurfaces of revolution
Differential Geometry and its Applications, 2004 A Riemannian manifold \(M\) equipped with a Lie group \(G\) of isometries has cohomogeneity \(1\) whenever the principal \(G\)-orbits are of codimension \(1\). Here, the authors deal with such complete cohomogeneity-\(1\) hypersurfaces \(M\) in \(\mathbb R^{n+1}\), \(n\geq 3\), which are unflat at infinity. He proves the following results: (1) If \(G\)
Mercuri, Francesco +1 more
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BI-ROTATIONAL HYPERSURFACE WITH Δx=Ax IN 4-SPACE [PDF]
, 2022 We introduce the bi-rotational hypersurface $\mathbf{x(}u,v,w\mathbf{)}$ in the four dimensional Euclidean geometry ${\mathbb{E}}^{4}.$ We obtain the $i$-th curvatures of the hypersurface.
Yayli, Yusuf +4 more
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Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
Advances in Mathematics, 2008 56 pages. v2: Some material added in section 1; minor changes.
CILIBERTO C, RUSSO, Francesco, SIMIS, A.
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On a Hypersurface Of a Generalized (α,β)- Metric Space [PDF]
, 2020 In 1985, Matsumoto. M.,[6] has discussed the properties of special hypersurface of Rander’s space with () = () being the gradient of a scalar function () . He had considered a hypersurface which is given by () = constant. In this paper we have considered
Singh, N, Pandey, R. K.
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