On some permanence properties of (derived) splinters

Autor:	Datta, Rankeya, Tucker, Kevin
Rok vydání:	2019
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We show that Noetherian splinters ascend under essentially \'etale homomorphisms. Along the way, we also prove that the henselization of a Noetherian local splinter is always a splinter and that the completion of a local splinter with geometrically regular formal fibers is a splinter. Finally, we give an example of a (non-excellent) Gorenstein local splinter with mild singularities whose completion is not a splinter. Our results provide evidence for a strengthening of the direct summand theorem, namely that regular maps preserve the splinter property. Comment: Comments welcome; minor edits reflecting referee suggestions; corrected a citation; to appear in Michigan Math. J
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.06891 Zobrazit plný text záznamu View this record from Arxiv