Not to be confused with Intersection (set theory) or Intersectionality.
This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. Please help improve this article by introducing more precise citations.(June 2020) (Learn how and when to remove this message)
In mathematics, intersection theory is one of the main branches of algebraic geometry, where it gives information about the intersection of two subvarieties of a given variety.[1] The theory for varieties is older, with roots in Bézout's theorem on curves and elimination theory. On the other hand, the topological theory more quickly reached a definitive form.
There is yet an ongoing development of intersection theory. Currently the main focus is on: virtual fundamental cycles, quantum intersection rings, Gromov–Witten theory and the extension of intersection theory from schemes to stacks.[2]
^Eisenbud & Harris 2016, p. 14.
^Eisenbud & Harris 2016, p. 2.
and 17 Related for: Intersection theory information
In mathematics, intersectiontheory is one of the main branches of algebraic geometry, where it gives information about the intersection of two subvarieties...
approach to intersectionality was proposed based on information theory, specifically synergistic information: in this framing, intersectionality is identified...
plane are not parallel, their intersection is the point at which they meet. More generally, in set theory, the intersection of sets is defined to be the...
Developments in Critical Race Theory". The organizers coined the term "Critical Race Theory" to signify an "intersection of critical theory and race, racism and...
is widely known for developing the theory of intersectionality in her 1989 essay, "Demarginalizing the Intersection of Race and Sex: A Black Feminist Critique...
and Soulé. Arakelov's intersectiontheory for arithmetic surfaces was developed further by Jean-Benoît Bost (1999). The theory of Bost is based on the...
instance, to Henri Poincaré—this duality was understood in terms of intersectiontheory. An element of H j ( X ) {\displaystyle H_{j}(X)} is represented...
theory — Intersectiontheory — Invariant theory — Iwasawa theory — K-theory — KK-theory — Knot theory — L-theory — Lie theory — Littlewood–Paley theory — Matrix...
a line, the intersection number along the line should be at least two. These questions are discussed systematically in intersectiontheory. Let X be a...
founded intersectiontheory of cycles on manifolds. On a closed oriented n-dimensional manifold M an i-cycle and a j-cycle with nonempty intersection will...
possible. In their theory, the intersection product for smooth varieties is constructed by deformation to the normal cone. Intersectiontheory Grothendieck–Riemann–Roch...
In graph theory, an intersection graph is a graph that represents the pattern of intersections of a family of sets. Any graph can be represented as an...
section. This curve has self-intersection number −n, and is the only irreducible curve with negative self intersection number. The only irreducible curves...
Diagonal intersection is a term used in mathematics, especially in set theory. If δ {\displaystyle \displaystyle \delta } is an ordinal number and ⟨ X...
MacPherson. To be precise, they develop the intersectiontheory by a way of solving the problems of residual intersections (namely, by the use of the Segre class...
numbers of solutions to geometric questions, mainly by means of intersectiontheory. The problem of Apollonius is one of the earliest examples of enumerative...
In quantum chemistry, a conical intersection of two or more potential energy surfaces is the set of molecular geometry points where the potential energy...
Global Information