论文标题
二重无限楔形为$ \ mathrm {gl} _ {\ infty} $ - noethiantly noetherian
Dual Infinite Wedge is $\mathrm{GL}_{\infty}$-equivariantly noetherian
论文作者
论文摘要
我们证明了(e夫)的noetherian属性,用于概括pluck剂品种的各种品种(定理1)。它改善了治疗有限的挑衅者品种的情况的Draisma-Eggermont的先前结果。我们证明的关键要素是超级夫人(定理36)的noe夫的建设性证明,这意味着双重无限楔形的诺瑟尼亚式。
We prove the (equivariant) noetherian property for a wide class of varieties generalizing the class of Plucker varieties (Theorem 1). It improves previous results of Draisma-Eggermont who treated the case of bounded Plucker varieties. Key ingredient of our proof is the constructive proof of the equivariant noetherianity for the hyper-Pfaffians (Theorem 36) which implies the equivariant noetherianity of the dual infinite wedge.