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arxiv: 1705.01419 · v4 · pith:HJGBCAUUnew · submitted 2017-05-03 · 🧮 math.AC · math.AG· math.RT

Topological Noetherianity of polynomial functors

Jan Draisma This is my paper
classification 🧮 math.AC math.AGmath.RT
keywords polynomialconjecturenoetherianityrecentstillmantheoremboundednessclass
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We prove that any finite-degree polynomial functor is topologically Noetherian. This theorem is motivated by the recent resolution of Stillman's conjecture and a recent Noetherianity proof for the space of cubics. Via work by Erman-Sam-Snowden, our theorem implies Stillman's conjecture and indeed boundedness of a wider class of invariants of ideals in polynomial rings with a fixed number of generators of prescribed degrees.

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