intersection multiplicity

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• Intersection number — In mathematics, the concept of intersection number arose in algebraic geometry, where two curves intersecting at a point may be considered to meet twice if they are tangent there. In the sense that multiple intersections are limiting cases of n… …   Wikipedia

• Intersection theory (mathematics) — In mathematics, intersection theory is a branch of algebraic geometry, where subvarieties are intersected on an algebraic variety, and of algebraic topology, where intersections are computed within the cohomology ring. The theory for varieties is …   Wikipedia

• Serre's multiplicity conjectures — In mathematics, Serre s multiplicity conjectures are certain purely algebraic problems, in commutative algebra, motivated by the needs of algebraic geometry. Since André Weil s initial rigorous definition of intersection numbers, around 1949,… …   Wikipedia

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• Linear system of divisors — A linear system of divisors algebraicizes the classic geometric notion of a family of curves, as in the Apollonian circles. In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of… …   Wikipedia

• Conic section — Types of conic sections: 1. Parabola 2. Circle and ellipse 3. Hyperbola …   Wikipedia

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• Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… …   Wikipedia

• Dialogical self — The dialogical self is a psychological concept which describes the mind s ability to imagine the different positions of participants in an internal dialogue, in close connection with external dialogue. The dialogical self is the central concept… …   Wikipedia

• Algebraic curve — In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with… …   Wikipedia