Pure O-sequences: Known results, applications, and open problems

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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.

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Migliore, J., Nagel, U., & Zanello, F. (2013). Pure O-sequences: Known results, applications, and open problems. In Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday (pp. 527–550). Springer New York. https://doi.org/10.1007/978-1-4614-5292-8_16

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