Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Topological Noetherianity of polynomial functors (1705.01419v4)

Published 3 May 2017 in math.AC, math.AG, and math.RT

Abstract: 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.

Summary

We haven't generated a summary for this paper yet.