Spherical Hypersurfaces with Low Type Quadric Representation
نویسندگان
چکیده
منابع مشابه
Rational Points on Intersections of Cubic and Quadric Hypersurfaces
We investigate the Hasse principle for complete intersections cut out by a quadric and cubic hypersurface defined over the rational numbers.
متن کاملRandom Matrices and the Expected Topology of Quadric Hypersurfaces
Let XR be the zero locus in RP n of one or two independently and Weyl distributed random real quadratic forms. Denoting by XC the complex part in CP n of XR and by b(XR) and b(XC) the sums of their Betti numbers, we prove that: (1) lim n→∞ Eb(XR) n = 1. In particular for one quadric hypersurface asymptotically Smith’s inequality b(XR) ≤ b(XC) is expected to be sharp. The methods we use combine ...
متن کاملConvexity of Hypersurfaces in Spherical Spaces
A spherical set is called convex if for every pair of its points there is at least one minimal geodesic segment that joins these points and lies in the set. We prove that for n ≥ 3 a complete locally-convex (topological) immersion of a connected (n−1)-manifold into the n-sphere is a surjection onto the boundary of a convex set.
متن کاملType-Constrained Direct Fitting of Quadric Surfaces
We present a catalog of type-specific, direct quadric fitting methods: Given a selection of a point cloud or triangle mesh, and a desired quadric type (e.g. cone, ellipsoid, paraboloid, etc), our methods recover a best-fit surface of the given type to the given data. Type-specific quadric fitting methods are scattered throughout the literature; here we present a thorough, practical collection i...
متن کاملExplicit description of spherical rigid hypersurfaces in C 2
*Correspondence: [email protected]; [email protected] 1School of Computer Science, Engineering and Mathematics, Flinders University, Sturt Road, Bedford Park, Adelaide SA 5042, Australia 2School of Science and Technology, University of New England, Armidale NSW 2351, Australia Abstract In this paper, we present a complete list of rigid spherical CR hypersurfaces in C2. The construc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 1990
ISSN: 0387-3870
DOI: 10.3836/tjm/1270132276