Abstract
The goal of this paper is to explicitly describe a minimal binomial generating set of a class of lattice ideals, namely the ideal of certain Veronese 3-fold projections. More precisely, for any integer d≥4 and any d-th root e of 1 we denote by Xd the toric variety defined as the image of the morphism φTd:P3⟶Pμ(Td)−1 where Td are all monomials of degree d in k[x,y,z,t] invariant under the action of the diagonal matrix M(1,e,e2,e3). In this work, we describe a Z-basis of the lattice Lη associated to I(Xd) as well as a minimal binomial set of generators of the lattice ideal I(Xd)=I+(η).
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