For a toric ideal I_A, the t-th symbolic power equals the kernel of a map sending each monomial to the t-fold tensor power of its exponent vector, and also equals I_A^t saturated by the product of all variables.
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Symbolic Powers of Toric Ideals
For a toric ideal I_A, the t-th symbolic power equals the kernel of a map sending each monomial to the t-fold tensor power of its exponent vector, and also equals I_A^t saturated by the product of all variables.