Strongly Robust Toric Ideals in Codimension 2

Lifting Problem in Codimension 2 and Initial Ideals

Deformations of Codimension 2 Toric Varieties

We prove Sturmfels’ conjecture that toric varieties of codimension two have no other flat deformations than those obtained by Gröbner basis theory.

On Simplicial Toric Varieties of Codimension 2

We describe classes of toric varieties of codimension 2 which are either minimally defined by codim V +1 binomial equations over any algebraically closed field, or set-theoretic complete intersections in exactly one positive characteristic .

Syzygies of Codimension 2 Lattice Ideals

The study of semigroup algebras has a long tradition in commutative algebra. Presentation ideals of semigroup algebras are called toric ideals, in reference to their prominent role in geometry. In this paper we consider the more general class of lattice ideals. Fix a polynomial ring S = k[x1, . . . , xn] over a field k and identify monomials x in S with vectors a ∈ N. Let L be any sublattice of...

Toric Ideals in Algebraic Statistics Toric Ideals in Algebraic Statistics

Toric Ideals in Algebraic Statistics