6 citations · 15 across the 14 of their papers we have counts for
16 papers · 1 filter
Borel subgroups of the automorphism group of an affine variety
Michael Chitayat, Daniel Daigle, Andriy Regeta
We study Borel subgroups of the automorphism group of an affine variety X and their associated Lie algebras. We prove a bijective correspondence between the set of Borel subgroups…
Decorated trees
Pierrette Cassou-Noguès, Daniel Daigle
We study a class of combinatorial objects that we call "decorated trees". These consist of vertices, arrows and edges, where each edge is decorated by two integers (one near each o…
Locally nilpotent derivations of graded integral domains and cylindricity
Michael Chitayat, Daniel Daigle
Let B be a commutative -graded domain of characteristic zero. An element f of B is said to be cylindrical if it is nonzero, homogeneous of nonzero degree, and such that…
Field generators in two variables and birational endomorphisms of
Pierrette Cassou-Noguès, Daniel Daigle
This article is a survey of two subjects: the first part is devoted to field generators in two variables, and the second to birational endomorphisms of the affine plane. Each one o…
Structure of the Newton tree at infinity of a polynomial in two variables
Pierrette Cassou-Nogues, Daniel Daigle
Let be a polynomial map. Let be a compactification of where is a smooth rational compact surface and suc…
Locally nilpotent derivations and the structure of rings
Daniel Daigle
We investigate the structure of commutative integral domains of characteristic zero by studying the kernels of locally nilpotent derivations .