A. Kustin

activity

20052008

most citedRational Normal Scrolls and the Defining Equations of Rees Algebras

7 citations · 10 across the 6 of their papers we have counts for

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6 papers · 1 filter

math.AC2008

Socle degrees, Resolutions, and Frobenius powers

Andrew R. Kustin, Bernd Ulrich

We first describe a situation in which every graded Betti number in the tail of the resolution of $\frac{R}{J}$ may be read from the socle degrees of $\frac{R}{J}$ . Then we apply the abo…

math.AC2008★ 7 cited

Rational Normal Scrolls and the Defining Equations of Rees Algebras

Andrew R. Kustin, Claudia Polini, Bernd Ulrich

Consider a height two ideal, $I$ , which is minimally generated by $m$ homogeneous forms of degree $d$ in the polynomial ring $R = k [x, y]$ . Suppose that one column in the homogeneous…

math.AC2008

Divisors on Rational Normal Scrolls

Andrew R. Kustin, Claudia Polini, Bernd Ulrich

Let $A$ be the homogeneous coordinate ring of a rational normal scroll. The ring $A$ is equal to the quotient of a polynomial ring $S$ by the ideal generated by the two by two mino…

math.AC2006★ 3 cited

The resolution of the universal ring for finite length modules of projective dimension two

Andrew R. Kustin

Hochster established the existence of a commutative noetherian ring $\Cal R$ and a universal resolution $U$ of the form $0\to \Cal R^{e}\to \Cal R^{f}\to \Cal R^{g}\to 0$ such…

math.AC2006

Socle degrees of Frobenius powers

Andrew R. Kustin, Adela N. Vraciu

Let $k$ be a field of positive characteristic $p$ , $R$ be a Gorenstein graded $k$ -algebra, and $S = R / J$ be an artinian quotient of $R$ by a homogeneous ideal. We ask how the socle d…

math.AC2005

On the minimal free resolution of the universal ring for resolutions of length two

Andrew R. Kustin, Jerzy M. Weyman

Hochster established the existence of a commutative noetherian ring $C ~$ and a universal resolution $U$ of the form $0 \to C ~^{e} \to C ~^{f} \to C ~^{g} \to 0$ s…