Toric ideal

In algebra, a toric ideal is an ideal generated by differences of two monomials. An affine or projective algebraic variety defined by a toric prime ideal or a homogeneous toric ideal is an affine or projective toric variety. [1][2][3][4]

References

  1. ^ Miller, Ezra; Sturmfels, Bernd (2005), Combinatorial Commutative Algebra, Graduate Texts in Mathematics, vol. 227, New York: Springer-Verlag, ISBN 0-387-22356-8
  2. ^ Cox, David. "Lectures on toric varieties" (PDF). Lecture 3. §4 and §5.
  3. ^ Sturmfels, Bernd (1996). Gröbner Bases and Convex Polytopes. Providence, RI: American Mathematical Society.
  4. ^ Teissier, Bernard (2004). Monomial Ideals, Binomial Ideals, Polynomial Ideals (PDF).


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