Robert P. Laudone

collaborators

5 papers

math.CO2021

A counterexample to a Gröbner approach for noetherianity of the twisted commutative algebra $Sym (Sym^{2} (C^{\infty}))$

Robert P. Laudone

We resolve an open question posed by the authors of arXiv:1501.06925v2 in 2015 concerning a Gröbner theoretic approach for the noetherianity of the twisted commutative algebra ${\r…

math.AC2021

Syzygies of $P^{1} \times P^{1}$ : data and conjectures

Juliette Bruce, Daniel Corey, Daniel Erman +3

We provide a number of new conjectures and questions concerning the syzygies of $P^{1} \times P^{1}$ . The conjectures are based on computing the graded Betti tables an…

math.AC2021

Equivariant prime ideals for infinite dimensional supergroups

Robert P. Laudone, Andrew Snowden

Let $A$ be a commutative algebra equipped with an action of a group $G$ . The so-called $G$ -primes of $A$ are the equivariant analogs of prime ideals, and of central importance in e…

math.AC2018

Computing Schur complexes

Michael K. Brown, Hang Huang, Robert P. Laudone +4

We describe a Macaulay2 package for computing Schur complexes. This package expands on the ChainComplexOperations package by David Eisenbud.

math.AC2018

Syzygies of secant ideals of Plücker-embedded Grassmannians are generated in bounded degree

Robert P. Laudone

Over a field of characteristic $0$ , we prove that for each $r \geq 0$ there exists a constant $C (r)$ so that the prime ideal of the $r$ th secant variety of any Plücker-embedded Gra…

A counterexample to a Gröbner approach for noetherianity of the twisted commutative algebra Sym(Sym2(C∞))

Syzygies of P1×P1: data and conjectures

Equivariant prime ideals for infinite dimensional supergroups

Computing Schur complexes

Syzygies of secant ideals of Plücker-embedded Grassmannians are generated in bounded degree

A counterexample to a Gröbner approach for noetherianity of the twisted commutative algebra $Sym (Sym^{2} (C^{\infty}))$

Syzygies of $P^{1} \times P^{1}$ : data and conjectures