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math.AG2022
Modified Makar-Limanov and Derksen invariants
Sergey Gaifullin, Anton Shafarevich
We investigate modified Makar-Limanov and Derksen invariants of an affine algebraic variety. The modified Makar-Limanov invariant is the intersection of kernels of all locally nilp…
math.AG2022
Automorphism group orbits on horospherical varieties and divisor class group
Sergey Gaifullin
In 2013 Bazhov proved a criterium for two points on a complete toric variety to lie in the same orbit of the neutral component of automorphism group. This criterium is in terms of…
math.AG2022
Orbits of automorphism group of trinomial hypersurfaces
Sergey Gaifullin, Georgiy Shirinkin
Trinomial hypersurfaces form a natural class of affine algebraic varieties closely connected with varieties admitting a torus action of complexity one. We investigate orbits of the…