4 papers
Infinite Intersections of open subschemes and the Hilbert scheme of points
R. M. Skjelnes, C. Walter
We study infinite intersections of open subschemes and the corresponding intersection of Hilbert schemes. If is the collection of open subschemes of a variety contain…
Exterior algebra methods for the Minimal Resolution Conjecture
David Eisenbud, Sorin Popescu, Frank-Olaf Schreyer +1
If r\geq 6, r\neq 9, we show that the Minimal Resolution Conjecture fails for a general set of m points in P^r for almost 1/2\sqrt r values of m. This strengthens the result of Eis…
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…