arXiv:1910.00516 Abstract | arXiv Analytics

arXiv:1910.00516 [math.AC]Abstract References Reviews Resources

A structure result for Gorenstein algebras of odd codimension

Published 2019-10-01Version 1

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.

Comments: 14 pages

Categories: math.AC, math.AG

Subjects: 13D02

Keywords: gorenstein algebras, odd codimension, structure result, gorenstein ideals, minimal free resolutions

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