A. Kustin

activity

19942024

most citedThe equations defining blowup algebras of height three Gorenstein ideals

38 citations · 84 across the 23 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.AC2011★ 6 cited

The Weak Lefschetz Property for monomial complete intersections

Andrew R. Kustin, Adela Vraciu

Let $A = k [x_{1}, ..., x_{n}] / (x_{1}^{d}, ..., x_{n}^{d})$ , where $k$ is an infinite field. If $k$ has characteristic zero, then Stanley proved that $A$ has the Weak Lefschetz Prope…

math.AC2011

Integral extensions and the a-invariant

Andrew Kustin, Claudia Polini, Bernd Ulrich

In this note we compare the a-invariant of a homogeneous algebra B to the a-invariant of a subalgebra A. In particular we show that if $A \subset B$ is a finite homogeneous inclusi…

math.AC2011★ 1 cited

A study of singularities on rational curves via syzygies

David Cox, Andrew R. Kustin, Claudia Polini +1

Consider a rational projective curve C of degree d over an algebraically closed field k. There are n homogeneous forms g_1,...,g_n of degree d in B=k[x,y] which parameterize C in a…