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arXiv · 2406.09593

Semigroup Graded Stillman's Conjecture

John Cobb·Nathaniel Gallup·John Spoerl
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Abstract

We resolve Stillman's conjecture for families of polynomial rings that are graded by any semigroup under mild conditions. Conversely, we show that these conditions are necessary for the existence of a Stillman bound. This has applications even for the well-known standard graded case.

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John Cobb, Nathaniel Gallup, John Spoerl. 2025-04-11. Semigroup Graded Stillman's Conjecture. https://doi.org/10.1016/j.jalgebra.2025.02.016

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