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arXiv · 1910.00516

A structure result for Gorenstein algebras of odd codimension

Isabel Stenger
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Abstract

The famous structure theorem of Buchsbaum and Eisenbud gives a complete characterization of Gorenstein ideals of codimension 3 and their minimal free resolutions. We generalize the ideas of Buchsbaum and Eisenbud from Gorenstein ideals to Gorenstein algebras and present a description of Gorenstein algebras of any odd codimension. As an application we study the canonical ring of a numerical Godeaux surface.

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Isabel Stenger. 2019-10-01. A structure result for Gorenstein algebras of odd codimension. https://arxiv.org/abs/1910.00516

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