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math.AG1999
Enriques Surfaces and other Non-Pfaffian Subcanonical Subschemes of Codimension 3
David Eisenbud, Sorin Popescu, Charles Walter
We give examples of subcanonical subvarieties of codimension 3 in projective n-space which are not Pfaffian, i.e. defined by the ideal sheaf of submaximal Pfaffians of an alternati…
math.AG1999
Lagrangian Subbundles and Codimension 3 Subcanonical Subscheme
David Eisenbud, Sorin Popescu, Charles Walter
We show that a Gorenstein subcanonical codimension 3 subscheme Z in X = P^N, N > 3, can be realized as the locus along which two Lagrangian subbundles of a twisted orthogonal bundl…