most citedMultigraded regularity and the Koszul property

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math.AG2007★ 1 cited

Multigraded regularity and the Koszul property

Milena Hering

We give a criterion for the section ring of an ample line bundle to be Koszul in terms of multigraded regularity. We discuss an application to polytopal semigroup rings.

math.AG2005

Asymptotic cohomological functions of toric divisors

Milena Hering, Alex Kuronya, Sam Payne

We study functions on the class group of a toric variety measuring the rates of growth of the cohomology groups of multiples of divisors. We show that these functions are piecewise…

math.AG2004

Syzygies, regularity and toric varieties

Milena Hering

Let A be an ample line bundle on a projective toric variety X of dimension n. We show that if l>=n-1+p, then A^l satisfies the property N_p. Applying similar methods, we obtain a c…