99 citations · 492 across the 111 of their papers we have counts for
9 papers · 1 filter
The variety of nilpotent pairs with
Vlad Roman, Robert M. Guralnick
Let be an algebraically closed field of characteristic . We consider the variety of nilpotent pairs with , namely the set of pairs $ X = \{ (A,B) \in M_…
Closure of Certain Matrix Varieties and Applications
William Chang, Robert Guralnick
We prove some results about closures of certain matrix varieties consisting of elements with the same centralizer dimension. This generalizes a result of Dixmier and has applicatio…
Unipotent Subgroups of Stabilizers
Phillipe Gille, Robert Guralnick
We consider semi-continuity of certain dimensions on group schemes.
The local lifting problem for actions of finite groups on curves
Ted Chinburg, Robert Guralnick, David Harbater
Let be an algebraically closed field of characteristic . We study obstructions to lifting to characteristic 0 the faithful continuous action of a finite group on…
Characteristic polynomials of automorphisms of hyperelliptic curves
Robert M. Guralnick, Everett W. Howe
Let alpha be an automorphism of a hyperelliptic curve C of genus g, and let alpha' be the automorphism of P^1 induced by alpha. Let n be the order of alpha and let n' be the order…
Nonisomorphic curves that become isomorphic over extensions of coprime degrees
Daniel Goldstein, Robert M. Guralnick, Everett W. Howe +1
We show that one can find two nonisomorphic curves over a field K that become isomorphic to one another over two finite extensions of K whose degrees over K are coprime to one anot…