2 citations · 5 across the 8 of their papers we have counts for
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Hyperplane Arrangement Cohomology and Monomials in the Exterior Algebra
David Eisenbud, Sorin Popescu, Sergey Yuzvinsky
We show that if X is the complement of a complex hyperplane arrangement, then the homology of X has linear free resolution as a module over the exterior algebra on the first cohomo…
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…
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…