1 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
On automorphisms of Danielewski surfaces
Anthony J. Crachiola
We develop techniques for computing the AK invariant of a domain with arbitrary characteristic. We use these techniques to describe for any field the automorphism group of $K[X…
Return of
Anthony J. Crachiola
We develop techniques for computing the AK invariant of domains with arbitrary characteristic. As an example, we show that for any field the ring $K[X,Y,Z,T] / (X + X^2 Y + Z^2…
On the rigidity of small domains
Anthony J. Crachiola, Leonid Makar-Limanov
Let be an algebraically closed field of arbitrary characteristic. Let be an affine domain over with transcendence degree 1 which is not isomorphic to , and let $B…