Geometry of Gorenstein Artinian Algebra

Abstract: Macaulay Duality, between filtered quotients of a polynomial ring over a field, annihilated by a power of the variables, and Artinian submodules of the ring's graded dual, is generalized over any Noetherian ground ring, and used to provide isomorphisms between the subschemes of the Hilbert scheme parameterizing various sorts of these quotients, and the corresponding subschemes of the Quot scheme of the dual. Notably, on this basis, the scheme of compressed Gorenstein algebras is proved to be smooth and irreducible of a certain relative dimension. Joint work in progress with Jan Kleppe.

algebraic geometry

Audience: researchers in the topic

Brazilian algebraic geometry seminar

Series comments: Subscribe the seminar mailing list, please send and email to brag-seminar-request@lists.ime.unicamp.br with "subscribe" in the subject line.

Previous talks available at the YouTube channel "Brazilian Algebraic Geometry" www.youtube.com/channel/UCM-pcdNdpWxQFgOg-illE2w