Ads
related to: correspondence in algebraic geometry pptteacherspayteachers.com has been visited by 100K+ users in the past month
- Assessment
Creative ways to see what students
know & help them with new concepts.
- Resources on Sale
The materials you need at the best
prices. Shop limited time offers.
- Assessment
Search results
Results from the WOW.Com Content Network
In algebraic geometry, a correspondence between algebraic varieties V and W is a subset R of V×W, that is closed in the Zariski topology.In set theory, a subset of a Cartesian product of two sets is called a binary relation or correspondence; thus, a correspondence here is a relation that is defined by algebraic equations.
In algebraic geometry, the relation between sets of polynomials and their zero sets is an antitone Galois connection. Fix a natural number n and a field K and let A be the set of all subsets of the polynomial ring K[X 1, ..., X n] ordered by inclusion ⊆, and let B be the set of all subsets of K n ordered by inclusion ⊆.
The Kobayashi–Hitchin correspondence has found a variety of important applications throughout algebraic geometry, differential geometry, and differential topology. By providing two alternative descriptions of the moduli space of stable holomorphic vector bundles over a complex manifold, one algebraic in nature and the other analytic, many ...
In mathematics, the geometric Langlands correspondence relates algebraic geometry and representation theory. It is a reformulation of the Langlands correspondence obtained by replacing the number fields appearing in the original number theoretic version by function fields and applying techniques from algebraic geometry . [ 1 ]
Algebraic geometry is in many ways the mirror image of commutative algebra. This correspondence started with Hilbert's Nullstellensatz that establishes a one-to-one correspondence between the points of an algebraic variety, and the maximal ideals of its coordinate ring. This correspondence has been enlarged and systematized for translating (and ...
Suppose that X is a smooth complex algebraic variety.. Riemann–Hilbert correspondence (for regular singular connections): there is a functor Sol called the local solutions functor, that is an equivalence from the category of flat connections on algebraic vector bundles on X with regular singularities to the category of local systems of finite-dimensional complex vector spaces on X.
Correspondence (algebraic geometry), between two algebraic varieties; Corresponding sides and corresponding angles, between two polygons; Correspondence (category theory), the opposite of a profunctor; Correspondence (von Neumann algebra) or bimodule, a type of Hilbert space; Correspondence analysis, a multivariate statistical technique
In algebraic geometry and differential geometry, the nonabelian Hodge correspondence or Corlette–Simpson correspondence (named after Kevin Corlette and Carlos Simpson) is a correspondence between Higgs bundles and representations of the fundamental group of a smooth, projective complex algebraic variety, or a compact Kähler manifold.
Ads
related to: correspondence in algebraic geometry pptteacherspayteachers.com has been visited by 100K+ users in the past month