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We present a natural and explicit multigraded minimal free resolution foreach generalized co-letterplace ideal (see Definition 1.1). Our resolutiondiffers significantly from the ones presented in the works of Ene et al.\cite{EHM} and D'Al{`\i} et al. \cite{DFN}. Additionally, we show that eachpower of a large class of generalized co-letterplace ideals can be representedas the quotient of another generalized co-letterplace ideal by a regularsequence of variable differences. Finally, we provide a new class of simplicialspheres

The resolutions of generalized co-letterplace ideals and their powers