Pure O-Sequences: Known Results, Applications, and Open Problems

Juan Migliore (), Uwe Nagel () and Fabrizio Zanello ()
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Juan Migliore: University of Notre Dame, Department of Mathematics
Uwe Nagel: University of Kentucky, Department of Mathematics
Fabrizio Zanello: Michigan Technological University, Department of Mathematical Sciences

A chapter in Commutative Algebra, 2013, pp 527-550 from Springer

Abstract: Abstract This paper presents a discussion of the algebraic and combinatorial aspects of the theory of pure O-sequences. Various instances where pure O-sequences appear are described. Several open problems that deserve further investigation are also presented.

Keywords: Social Degree; Hilbert Function; Matroid Complexes; Steiner System; Syzygy Bundle (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_16

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DOI: 10.1007/978-1-4614-5292-8_16

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