Vlad Roman

collaborators

2 papers

math.AG2026

Commuting varieties in bad characteristic

Vlad Roman

Let $k$ be an algebraically closed field of characteristic $2$ . We consider the commuting variety and the commuting nilpotent variety of the Lie algebra $sp_{2 n}$ , namel…

math.AG2025

The variety of nilpotent pairs $(A, B)$ with $[A, B] = λ I$

Vlad Roman, Robert M. Guralnick

Let $k$ be an algebraically closed field of characteristic $p > 0$ . We consider the variety of nilpotent pairs $(A, B)$ with $[A, B] = λ I$ , namely the set of pairs $ X = \{ (A,B) \in M_…

Commuting varieties in bad characteristic

The variety of nilpotent pairs (A,B) with [A,B]=λI

The variety of nilpotent pairs $(A, B)$ with $[A, B] = λ I$