An equivariant Hilbert basis theorem

Andrew Snowden; Daniel Erman; Steven V Sam

arxiv: 1712.07532 · v2 · pith:23LARQD5new · submitted 2017-12-20 · 🧮 math.AG · math.AC

An equivariant Hilbert basis theorem

Daniel Erman , Steven V Sam , Andrew Snowden This is my paper

classification 🧮 math.AG math.AC

keywords basisequivarianthilberttheoremactingalgebraicfiniteg-noetherian

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We prove a version of the Hilbert basis theorem in the setting of equivariant algebraic geometry: given a group G acting on a finite type morphism of schemes X -> S, if S is topologically G-noetherian, then so is X.

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An equivariant Hilbert basis theorem

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