We show that a 3-dimensional Pham-Brieskorn hypersurface {X_0^a0 + X_1^a1 + X_2^a2+ X+3^a3 = 0} in A^4 such that min{a0, a1, a2, a3} >= 2 and at most one element i of {0, 1, 2, 3} satisfies ai= 2 does not admit a non-trivial action of the additive group Ga.
The rigid Pham-Brieskorn threefolds
Chitayat M.
;
2025
Abstract
We show that a 3-dimensional Pham-Brieskorn hypersurface {X_0^a0 + X_1^a1 + X_2^a2+ X+3^a3 = 0} in A^4 such that min{a0, a1, a2, a3} >= 2 and at most one element i of {0, 1, 2, 3} satisfies ai= 2 does not admit a non-trivial action of the additive group Ga.
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