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...

divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common use, Cartier divisors...

Alexander von Brill and Max Noether (1874), is the study of special divisors, certain divisors on a curve C that determine more compatible functions than...

special divisors is a result of William K. Clifford (1878) on algebraic curves, showing the constraints on special linear systems on a curve C. A divisor on...

generalization of a sequence Net, a linear system of divisors of dimension 2 Net (polyhedron), an arrangement of polygons that can be folded up to form...

broadest of the "Bertini theorems" applying to a linear system of divisors; simplest because there is no restriction on the characteristic of the underlying...

separation of variables in the Hamilton–Jacobi equation Web, a linear system of divisors of dimension 3 Web Entertainment, a record label Web (album), a...

defined n-th plurigenus of V. The pluricanonical divisor K n {\displaystyle K^{n}} , via the corresponding linear system of divisors, gives a map to projective...

algebraic geometry, an algebraic generalization is given by the notion of a linear system of divisors. Weisstein, Eric W. "Family of Curves". MathWorld....

Function field of an algebraic variety Ample line bundle Ample vector bundle Linear system of divisors Birational geometry Blowing up Resolution of singularities...