On homogeneous locally nilpotent derivations of trinomial algebras

Abstract

We provide an explicit description of homogeneous locally nilpotent derivations of the algebra of regular functions on affine trinomial hypersurfaces. As an application, we describe the set of roots of trinomial algebras.

arXiv comment14 pages. arXiv admin note: text overlap with arXiv:1710.10610

References in corpus (8)

• Affine T-varieties of complexity one and locally nilpotent derivations
• Ga-actions of fiber type on affine T-varieties
• Non-complete rational T-varieties of complexity one
• The automorphism group of a rigid affine variety
• Polyhedral divisors and SL_2-actions on affine T-varieties
• Roots of the affine Cremona group
• Problems for problem session
• Homogeneous locally nilpotent derivations of non-factorial trinomial algebras

Cited by in corpus (2)

• On rigidity of trinomial hypersurfaces and factorial trinomial varieties
• Homogeneous locally nilpotent derivations on trinomial varieties