Results 11 to 20 of about 73,367 (201)
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
openaire +3 more sources
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
openaire +2 more sources
Proceedings of the Steklov Institute of Mathematics, 2006 We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, generalising the Cayley surface.
Eastwood, Michael, Ezhov, V
openaire +5 more sources
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
openaire +3 more sources
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
openaire +2 more sources
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.
openaire +4 more sources
Coisotropic hypersurfaces in Grassmannians [PDF]
Journal of Symbolic Computation, 2021 22 ...
openaire +2 more sources
Affine differential geometry of osculating hypersurfaces
Lietuvos Matematikos Rinkinys, 2012 Osculating surfaces of second order have been studied in classical affine differential geometry [1]. In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space.
Kazimieras Navickis
doaj +1 more source
Determinantal hypersurfaces. [PDF]
Michigan Mathematical Journal, 2000 29 pages, Plain TeX, with a new Appendix by F.-O ...
openaire +4 more sources
Arithmetically Cohen-Macaulay Bundles on complete intersection varieties of sufficiently high multidegree [PDF]
, 2010 Recently it has been proved that any arithmetically Cohen-Macaulay (ACM) bundle of rank two on a general, smooth hypersurface of degree at least three and dimension at least four is a sum of line bundles.
A. Beauville +19 more
core +1 more source