The paper constructs an infinite series of commutative finite-dimensional Gorenstein local algebras A_n (n ≥ 2) whose maximal ideals possess a one-dimensional automorphism-invariant subspace different from the socle, implying failure of the affine homogeneity property.
An introduction to computa- tional algebraic geometry and commutative algebra
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
An infinite series of Gorenstein local algebras failing the affine homogeneity property
The paper constructs an infinite series of commutative finite-dimensional Gorenstein local algebras A_n (n ≥ 2) whose maximal ideals possess a one-dimensional automorphism-invariant subspace different from the socle, implying failure of the affine homogeneity property.