Toric ideal

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Short description: Ideal generated by differences of monomials

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, 227, New York: Springer-Verlag, ISBN 0-387-22356-8 
  2. ↑ Cox, David. "Lectures on toric varieties". Lecture 3. §4 and §5. https://dacox.people.amherst.edu/lectures/coxcimpa.pdf. 
  3. ↑ Sturmfels, Bernd (1996). Gröbner Bases and Convex Polytopes. Providence, RI: American Mathematical Society. 
  4. ↑ Teissier, Bernard (2004). Monomial Ideals, Binomial Ideals, Polynomial Ideals. http://library.msri.org/books/Book51/files/07teissier.pdf. 




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