Prime Ideals and Three-generated Ideals with Large Regularity

Ananyan and Hochster proved the existence of a function $\Phi (m,d)$ such that any graded ideal $I$ generated by $m$ forms of degree at most $d$ in a standard graded polynomial ring satisfies $\mathrm{reg}(I) \le \Phi (m,d)$. Relatedly, Caviglia et. al. proved the existence of a function $\Psi (e)$...

全面介紹

書目詳細資料
主要作者: McCullough, Jason
格式: Article
語言:English
出版: Académie des sciences 2024-05-01
叢編:Comptes Rendus. Mathématique
在線閱讀:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.544/