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...

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...

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

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...

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...

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...

divisors and line bundles, the first twisting sheaf O ( 1 ) {\displaystyle {\mathcal {O}}(1)} is equivalent to hyperplane divisors. Since the ring of...

of the interpretation of J as the linear equivalence classes of divisors on C of degree 0. That is, Q on C maps to the class of Q − P. Then since J is...

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