Abstract
Let F be a finite set of monomials of the same degree d ≥ 2 in a polynomial ring R = k[x 1,…, x n ] over an arbitrary field k. We give some necessary and/or sufficient conditions for the birationality of the ring extension k[F] ⊂ R (d), where R (d) is the dth Veronese subring of R. One of our results extends to arbitrary characteristic, in the case of rational monomial maps, a previous syzygytheoretic birationality criterion in characteristic zero obtained in [1].
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