Jonathan Elmer

activity

20132022

most citedSeparating invariants for arbitrary linear actions of the additive group

1 citations · 1 across the 2 of their papers we have counts for

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6 papers · 1 filter

math.AC2022

The separating variety for matrix semi-invariants

Jonathan Elmer

Let $G$ be a linear algebraic group acting linearly on a vector space $V$ , and let $k [V]^{G}$ be the corresponding algebra of invariant polynomial functions. A separating set $S \sub…

math.AC2020

Degree bounds for modular covariants

Jonathan Elmer, Müfit Sezer

Let $V, W$ be representations of a cyclic group $G$ of prime order $p$ over a field $k$ of characteristic $p$ . The module of covariants $k [V, W]^{G}$ is the set of $G$ -equivariant poly…

math.AC2018

On the depth of quotients of modular invariant rings by transfer ideals

Jonathan Elmer, Müfit Sezer

Let $G$ be a finite group, and $V$ a finite dimensional vector space over a field $k$ of characteristic dividing the order of $G$ . Let $H \leq G$ . The transfer map $k[V]^H \rightar…

math.AC2018

Modular Covariants of Cyclic Groups of Order p

Jonathan Elmer

Let $G$ be a cyclic group of order $p$ , let $k$ be a field of characteristic $p$ , and let $V, W$ be $k G$ -modules. We study the modules of covariants $k[V,W]^G = (S(V^*) \otimes W)^…

math.AC2016

Locally finite derivations and modular coinvariants

Jonathan Elmer, Mufit Sezer

We consider a finite dimensional $\kk G$-module $V$ of a $p$ -group $G$ over a field $\kk$ of characteristic $p$ . We describe a generating set for the corresponding Hilbert Ideal. I…

math.AC2013★ 1 cited

Separating invariants for arbitrary linear actions of the additive group

Emilie Dufresne, Jonathan Elmer, Müfit Sezer

We consider an arbitrary representation of the additive group over a field of characteristic zero and give an explicit description of a finite separating set in the corresponding r…