359 citations
- Massachusetts Institute of TechnologyUS18 papers
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11 papers · 1 filter
Integrality relations for polygonal dissections
Aaron Abrams, Jamie Pommersheim
Given a trapezoid dissected into triangles, the area of any triangle determined by either diagonal of the trapezoid is integral over the ring generated by the areas of the triangle…
FastMinors package for Macaulay2
Boyana Martinova, Marcus Robinson, Karl Schwede +1
In this article, we present FastMinors.m2, a package in Macaulay2 designed to introduce new methods focused on computations in function field linear algebra. Some key functionality…
Predicted decay ideal
Sarah Jo Weinstein, Irena Swanson
For arbitrary positive integers we construct a family of monomial ideals such that for each positive integer and for each ideal in the fami…
Tensor-Multinomial Sums of Ideals: Primary Decompositions and Persistence of Associated Primes
Irena Swanson, Robert M. Walker
Given a polynomial ring over a field and proper ideals and whose generating sets involve disjoint variables, we determine how to embed the associated primes of each pow…
Many associated primes of powers of primes
Jesse Kim, Irena Swanson
We construct families of prime ideals in polynomial rings for which the number of associated primes of the second power (or higher powers) is exponential in the number of variables…
Explicit Hilbert-Kunz functions of 2 x 2 determinantal rings
Marcus Robinson, Irena Swanson
Let be the polynomial ring in variables over a field of arbitrary characteristic. Denote by the ideal g…