We compute initial algebras of standard Pfaffian rings via suitable embeddings. This yields simple proofs that these rings are normal Gorenstein domains, with rational singularities in characteristic $0$ and $F$-rational in characteristic $p > 0$. We also determine their $a$-invariants. These methods can also be applied to prove the same properties for rings defined by cogenerated Pfaffian ideals.
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Titolo: | Initial algebras of Pfaffian rings |
Autori: | |
Data di pubblicazione: | 2013 |
Rivista: | |
Abstract: | We compute initial algebras of standard Pfaffian rings via suitable embeddings. This yields simple proofs that these rings are normal Gorenstein domains, with rational singularities in characteristic $0$ and $F$-rational in characteristic $p > 0$. We also determine their $a$-invariants. These methods can also be applied to prove the same properties for rings defined by cogenerated Pfaffian ideals. |
Handle: | http://hdl.handle.net/11567/517724 |
Appare nelle tipologie: | 01.01 - Articolo su rivista |
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