Abstract
We study ideals which are generated by monomials of degree [Formula: see text] in the polynomial ring in [Formula: see text] 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 [Formula: see text]-spread Veronese ideals. In this paper we focus on [Formula: see text]-bounded [Formula: see text]-spread Veronese ideals and on Veronese ideals of bounded support. Their powers as well as their fiber cone are also considered.
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