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Castelnuovo-Mumford regularity of toric varieties with at most one singular point

García-Marco, Ignacio et al.
arXiv (OAI Expanded) · Papers
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algebraic-geometrycombinatoricscommutative-algebra
We establish upper bounds for the Castelnuovo--Mumford regularity of the coordinate ring of a simplicial projective toric variety with at most one singular point. In the smooth case, our results recover the bound of Herzog and Hibi [Proc. Amer. Math. Soc. 131 (2003), 2641--2647], and therefore the E
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