Homogeneous locally nilpotent derivations on trinomial varieties

2025/09/10 by Rassolov, Kirill
#14L30 #14R20 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13N15 #Secondary 13A50

paper · doi:10.48550/arxiv.2509.08491

Abstract

We consider the finest grading of the algebra of regular functions of a trinomial variety. An explicit description of locally nilpotent derivations that are homogeneous with respect to this grading is obtained.

Citations

• Rigid Trinomial Varieties
• On rigidity of trinomial hypersurfaces and factorial trinomial varieties
• Non-complete rational T-varieties of complexity one
• Homogeneous coordinates for algebraic varieties

Related

• On locally nilpotent derivations of polynomial algebra in three variables
• A note on homogeneous rank 2 locally nilpotent derivations on k[X,Y,Z]
• Some results on homogeneous locally nilpotent R-derivations on R[X,Y,Z]
• The Filtration Induced by a Locally Nilpotent Derivation
• On sums of homogeneous locally nilpotent derivations