3 papers
math.AG1999
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…
math.AC1998
Extremal Betti Numbers and Applications to Monomial Ideals
Dave Bayer, Hara Charalambous, Sorin Popescu
In this short note we introduce a notion of extremality for Betti numbers of a minimal free resolution, which can be seen as a refinement of the notion of Mumford-Castelnuovo regul…
alg-geom1997
Cellular Resolutions of Monomial Modules
Dave Bayer, Bernd Sturmfels
We construct a canonical free resolution for arbitrary monomial modules and lattice ideals. This includes monomial ideals and defining ideals of toric varieties, and it generalizes…