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Rigid rings and Makar-Limanov techniques
Anthony J. Crachiola, Stefan Maubach
A ring is rigid if there is no nonzero locally nilpotent derivation on it. In terms of algebraic geometry, a rigid coordinate ring corresponds to an algebraic affine variety which…
math.AG2010
Computing preimages of points and curves under polynomial maps
Michiel de Bondt, Stefan Maubach
In this paper, we give two algorithms to compute preimages of curves under polynomial endomorphisms. In particular, this gives an efficient way of computing preimages of points. Fu…
math.AG2010
Unipotent group actions on affine varieties
Harm Derksen, Arno van den Essen, David R. Finston +1
Algebraic actions of unipotent groups actions on affine varieties ( an algebraically closed field of characteristic 0) for which the algebraic quotient has sm…