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We study ideals which are generated by monomials of degree $d$ in the polynomial ring in $n$ variables and which satisfy certain numerical side conditions regarding their exponents. Typical examples of such ideals are the ideals of Veronese type, squarefree Veronese ideals or $t$-spread Veronese ideals. In this paper we focus on $c$-bounded $t$-spread Veronese ideals and on Veronese ideals of bounded support. Their powers as well as their fiber cone is also be considered.

Restricted classes of veronese type ideals and algebras