2 papers
math.AG2025
Toric varieties admitting an action of a unipotent group with a finite number of orbits
Anton Shafarevich
We describe complete simplicial toric varieties on which a unipotent group acts with a finite number of orbits. We also provide a complete list of such varieties in the case where…
math.AG2024
Modified Derksen invariant
Ilya Boldyrev, Sergey Gaifullin, Anton Shafarevich
Modified Derksen invariant HD*(X) of an affine variety X is a subalgebra in K[X] generated by kernels of all locally nilpotent derivations of K[X] with slices. If there is a locall…