Smooth Hilbert schemes

Abstract: How can we understand all saturated homogeneous ideals in a polynomial ring? Hilbert schemes provide a geometric answer to this question. After surveying the key features of these natural parameter spaces, we will present a complete combinatorial classification of the smooth Hilbert schemes. We will also reinterpret the smooth Hilbert schemes as suitable generalizations of partial flag varieties. This talk is based on joint work with Roy Skjelnes (KTH).

commutative algebra

Audience: researchers in the topic

Fellowship of the Ring

Series comments: Description: National Commutative Algebra Seminar

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