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- W2000276907 abstract "We show that a Gorenstein subcanonical codimension 3 subscheme Z⊂X=ℙN, N≥4, can be realized as the locus along which two Lagrangian subbundles of a twisted orthogonal bundle meet degenerately and conversely. We extend this result to singular Z and all quasi-projective ambient schemes X under the necessary hypothesis that Z is strongly subcanonical in a sense defined below. A central point is that a pair of Lagrangian subbundles can be transformed locally into an alternating map. In the local case our structure theorem reduces to that of D. Buchsbaum and D. Eisenbud [6] and says that Z is Pfaffian. We also prove codimension 1 symmetric and skew-symmetric analogues of our structure theorems." @default.
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- W2000276907 date "2001-04-15" @default.
- W2000276907 modified "2023-09-25" @default.
- W2000276907 title "Lagrangian subbundles and codimension 3 subcanonical subschemes" @default.
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- W2000276907 doi "https://doi.org/10.1215/s0012-7094-01-10731-x" @default.
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