TY - BOOK AU - Boij,Mats TI - On the shape of a pure O-sequence T2 - Memoirs of the American Mathematical Society, SN - 9780821890103 (online) AV - QA251.3 .O54 2011 U1 - 512/.44 23 PY - 2011/// CY - Providence, R.I. PB - American Mathematical Society KW - Artin algebras KW - Partially ordered sets KW - Commutative algebra N1 - "July 2012, volume 218, number 1024 (second of 5 numbers)."; Includes bibliographical references and index; Chapter 1. Introduction; Chapter 2. Definitions and preliminary results; Chapter 3. Differentiability and unimodality; Chapter 4. The Interval Conjecture for Pure $O$-sequences; Chapter 5. Enumerating pure $O$-sequences; Chapter 6. Monomial Artinian level algebras of type two in three variables; Chapter 7. Failure of the WLP and the SLP; Chapter 8. Remarks on pure $f$-vectors; Chapter 9. Some open or open-ended problems; Appendix A. Collection of definitions and notation; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/1024 UR - http://dx.doi.org/10.1090/S0065-9266-2011-00647-7 ER -