Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: Complete intersections of given Hilbert polynomial

Seminar | November 28 | 5-6 p.m. | 939 Evans Hall

 Chris Eur, UC Berkeley

 Department of Mathematics

The Hilbert polynomial of a homogeneous complete intersection is determined by the degrees of the generators of the defining ideal. The degrees of the generators are not, in general, determined by the Hilbert polynomial – but sometimes they are. When? We give some general criteria and completely answer the question up to codimension 6.