In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of curves; the dimension of the linear system corresponds to the number of parameters of the family.
These arose first in the form of a linear system of algebraic curves in the projective plane. It assumed a more general form, through gradual generalisation, so that one could speak of linear equivalence of divisors D on a general algebraic variety V.
A linear system of dimension 1, 2, or 3 is called a pencil, a net, or a web.
Read more about Linear System Of Divisors: Definition By Means of Functions, Base Locus, Linear System of Conics, Other Examples, Linear Systems in Birational Geometry, Line Bundle/invertible Sheaf Language
Famous quotes containing the word system:
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—Henry David Thoreau (1817–1862)