The lattice points of a rational polyhedral cone form a finitely generated additive monoid. Choose lattice generators for the cone. Subtracting integer parts of nonnegative coefficients leaves a lattice point in their bounded fundamental parallelepiped; its finitely many lattice points, together with the chosen generators, generate the monoid. This supplies finite generation of the coordinate ring of an affine toric variety.
// Target: geometry-and-topology.bigb

Ancestors (10)

  1. Affine semigroup of a rational cone
  2. Dual cone
  3. Cone in toric geometry
  4. Fan in toric geometry
  5. Toric geometry
  6. Algebraic geometry
  7. Geometry and topology
  8. Area of mathematics
  9. Mathematics
  10. Home

Incoming links (3)

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version