5 papers · 1 filter
Syzygies of Unimodular Lawrence Ideals
Dave Bayer, Sorin Popescu, Bernd Sturmfels
Infinite hyperplane arrangements whose vertices form a lattice are studied from the point of view of commutative algebra. The quotient of such an arrangement modulo the lattice act…
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…
The moduli space of (1,11)-polarized abelian surfaces is unirational
Mark Gross, Sorin Popescu
We prove that the moduli space A_{11}^{lev} of (1,11) polarized abelian surfaces with level structure of canonical type is birational to Klein's cubic hypersurface: a^2b+b^2c+c^2d+…