In this article we show that the symbolic Rees algebra of a mixed (two-sided) ladder determinantal ideal is strongly F-regular. Furthermore, we prove that the symbolic associated graded algebra of a mixed ladder determinantal ideal is F-pure. Finally, we show that ideals of the poset of minors of a generic matrix give rise to F-pure algebras with straightening law.
Ladder determinantal varieties and their symbolic blowups
De Stefani A.;Seccia L.;Varbaro M.
2026-01-01
Abstract
In this article we show that the symbolic Rees algebra of a mixed (two-sided) ladder determinantal ideal is strongly F-regular. Furthermore, we prove that the symbolic associated graded algebra of a mixed ladder determinantal ideal is F-pure. Finally, we show that ideals of the poset of minors of a generic matrix give rise to F-pure algebras with straightening law.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
