Three Flavors of Extremal Betti Tables

Christine Berkesch (), Daniel Erman () and Manoj Kummini ()
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Christine Berkesch: Duke University, Department of Mathematics
Daniel Erman: University of Michigan, Department of Mathematics
Manoj Kummini: Siruseri, Chennai Mathematical Institute

A chapter in Commutative Algebra, 2013, pp 99-121 from Springer

Abstract: Abstract We discuss extremal Betti tables of resolutions in three different contexts. We begin over the graded polynomial ring, where extremal Betti tables correspond to pure resolutions. We then contrast this behavior with that of extremal Betti tables over regular local rings and over a bigraded ring.

Keywords: Polynomial Ring; Finite Length; Betti Number; Degree Sequence; Matching Graph (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-5292-8_4

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DOI: 10.1007/978-1-4614-5292-8_4

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