- ideal. In the case of
possibly reducible hypersurfaces, this
result may be
restated as follows:
hypersurfaces are
exactly the
algebraic sets
whose all...
- light, and no
contained worldlines that are time-like.
Examples of null
hypersurfaces include a
light cone, a
Killing horizon, and the
event horizon of a...
-
tropical variety is the
intersection of a
finite number of
tropical hypersurfaces. A
finite set of
polynomials { f 1 , … , f r } ⊆ I ( X ) {\displaystyle...
- ellipsoids, paraboloids, and hyperboloids. More generally, a
quadric hypersurface (of
dimension D)
embedded in a
higher dimensional space (of dimension...
- of n
projective hypersurfaces has
codimension n, then the
degree of the
intersection is the
product of the
degrees of the
hypersurfaces. The
degree of...
-
variables x1, x2 and x3. For
higher values of n, the
level set is a
level hypersurface, the set of all real-valued
roots of an
equation in n > 3 variables....
- in the case of
complex hypersurfaces) that does not
contain any
other intersection point.
Consider n
projective hypersurfaces that are
defined over an...
- {\displaystyle k}
hypersurfaces, and the
normal vector space at a
point is the
vector space generated by the
normal vectors of the
hypersurfaces at the point...
- mathematics, a
cubic form is a
homogeneous polynomial of
degree 3, and a
cubic hypersurface is the zero set of a
cubic form. In the case of a
cubic form in three...
- the
Hodge conjecture for
hypersurfaces is the
degree m part (i.e., the
middle cohomology) of a 2m-dimensional
hypersurface X ⊂ P 2 m + 1 {\displaystyle...
