mathematics, noncommutative projective geometry is a noncommutative analog of projective geometry in the setting of noncommutative algebraic geometry. The quantum...

Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces...

respect to projective transformations, as is seen in perspective drawing from a changing perspective. One source for projective geometry was indeed the...

geometry Noncommutative algebraic geometry Noncommutative geometry Ordered geometry Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian...

Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric...

Sklyanin algebra. The notion is studied in the context of noncommutative projective geometry. Ajitabh, Kaushal (1994), Modules over regular algebras and...

points of projective space. A notable property of the projective elliptic geometry is that for even dimensions, such as the plane, the geometry is non-orientable...

Galois geometries, since any finite projective space of dimension three or greater is isomorphic to a projective space over a finite field (that is, the...

which may be affine as well as projective. Suppose given a hyperbolic curve C, i.e., the complement of n points in a projective algebraic curve of genus g...

sphere Projective geometry Non-Euclidean surface growth Parallel (geometry)#In non-Euclidean geometry Spherical geometry#Relation to similar geometries Eder...

of the 19th century, such as non-Euclidean, projective, and affine geometry. In the Greek deductive geometry of Euclid's Elements, a general line (now called...

geometry that are related to symmetry. In traditional geometry, affine geometry is considered to be a study between Euclidean geometry and projective...

of locally free sheaves.) projective 1.  A projective variety is a closed subvariety of a projective space. 2.  A projective scheme over a scheme S is...

in a projective plane. If P is a finite set, the projective plane is referred to as a finite projective plane. The order of a finite projective plane...

form only in projective space. For these reasons, projective space plays a fundamental role in algebraic geometry. Nowadays, the projective space Pn of...

absolute geometry, while negating it yields hyperbolic geometry. Other consistent axiom sets can yield other geometries, such as projective, elliptic...

Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric (an...

between symmetries in projective geometry and the combinatorics of simplicial complexes. F1 has been connected to noncommutative geometry and to a possible...

is fundamental, for the same reasons that projective geometry is the dominant approach in algebraic geometry. Rational number solutions therefore are the...

mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate...

identities. Commutative rings are much better understood than noncommutative ones. Algebraic geometry and algebraic number theory, which provide many natural...

In linear algebra, particularly projective geometry, a semilinear map between vector spaces V and W over a field K is a function that is a linear map...

considered fundamental in mainstream geometry and topology, there are some systems that forgo it, e.g. noncommutative geometry and pointless topology. A "pointless"...

In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts...

differential geometry topics Noncommutative geometry Projective differential geometry Synthetic differential geometry Systolic geometry Gauge theory (mathematics)...

any number of dimensions. An important geometry related to that of the sphere is that of the real projective plane; it is obtained by identifying antipodal...

that are disregarded—projective geometry that consider only alignment of points but not distance and parallelism, affine geometry that omits the concept...

for smooth projective varieties, a motive is a triple ( X , p , m ) {\displaystyle (X,p,m)} , where X {\displaystyle X} is a smooth projective variety,...

theory Projective geometry a form of geometry that studies geometric properties that are invariant under a projective transformation. Projective differential...

אמנון יקותיאלי) is an Israeli mathematician, working in noncommutative algebra, algebraic geometry and deformation quantization. He is a professor of mathematics...