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Linear Syzygies and Birational Combinatorics by Simis, Aron; Villarreal, Rafael H. is a scholarly article available to read on EtoBox.

What is Linear Syzygies and Birational Combinatorics about?

Let $F$ be a finite set of monomials of the same degree $d\geq 2$ 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 $k[F]\subset R^{(d)}$, where $R^{(d)}$ is the $d${\it th} Veronese subring of $R$. One of our results extends to arbitrary characteristic, in the case of rational monomial maps, a previous syzygy-theoretic birationality criterion in characteristic zero

Author

Simis, Aron; Villarreal, Rafael H.

Published

2005

Language

EN