Semigroup Graded Stillman's Conjecture
arXiv:2406.09593 · doi:10.1016/j.jalgebra.2025.02.016
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.
7 pages
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