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math.AG1998
The Projective Geometry of the Gale Transform
David Eisenbud, Sorin Popescu
The Gale transform, an involution on sets of points in projective space, appears in a multitude of guises, in subjects as diverse as optimization, coding theory, theta-functions, a…
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…