15 citations · 39 across the 3 of their papers we have counts for
3 papers
math.AG2016★ 10 cited
Projective completions of graded unipotent quotients
Gergely Bérczi, Brent Doran, Thomas Hawes +1
The aim of this paper is to show that classical geometric invariant theory (GIT) has an effective analogue for linear actions of a non-reductive algebraic group with graded uni…
math.AG2016★ 15 cited
Geometric invariant theory for graded unipotent groups and applications
Gergely Bérczi, Brent Doran, Thomas Hawes +1
Let be a graded unipotent group over the complex numbers, in the sense that it has an extension by the multiplicative group such that the action of the multiplicative…
math.AG2015★ 14 cited
Constructing quotients of algebraic varieties by linear algebraic group actions
Gergely Bérczi, Brent Doran, Thomas Hawes +1
In this article we review the question of constructing geometric quotients of actions of linear algebraic groups on irreducible varieties over algebraically closed fields of charac…