5
$\begingroup$

Are any finitely generated reflexive module a second syzygy?

(I´m thinking especially in normal noetherian domains)

More general...

Are any divisorial lattice a second syzygy? (I´m thinking especially in Krull domains)

$\endgroup$
0

1 Answer 1

6
$\begingroup$

Over a normal domain (in fact, you only need Gorenstein in codimension 1, being second syzygy and reflexive are equivalent). This is Theorem 3.6 of Evans-Griffith "Syzygies" book.

$\endgroup$
0

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .