Apostolos Thoma

Radical splittings of toric ideals

Abstract Let K be a field and let $$I_A\subset K[x_1,\ldots ,x_n]$$ I A ⊂ K [ x 1 , … , x n ] be a toric ideal. We study when $$I_A$$ I A can be expressed in the form $$ I_A=\textrm{rad}(I_{A_1}+\cdots +I_{A_r}),$$ I A = rad ( I A 1 + ⋯ + I A r ) , where $$I_{A_i}\ne I_A$$ I A i...