On the shape of a pure O-sequence

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  • English
by
American Mathematical Society , Providence, R.I
Commutative algebra, Partially ordered sets, Artin alg
StatementMats Boij ... [et al.].
SeriesMemoirs of the American Mathematical Society -- no. 1024
Classifications
LC ClassificationsQA251.3 .O54 2011
The Physical Object
Paginationp. cm.
ID Numbers
Open LibraryOL25270096M
ISBN 139780821869109
LC Control Number2012007082

: On the Shape of a Pure O-sequence (Memoirs of the American Mathematical Society) (): Boij, Mats, Migliore, Juan C., Miro-roig, Rosa M., Nagel Cited by: Equivalently, pure \(O\)-sequences can be characterized as the \(f\)-vectors of pure multicomplexes, or, in the language of commutative algebra, as the \(h\)-vectors of monomial Artinian level algebras.

On the shape of a pure 𝑂-sequence. Introduction --Definitions and preliminary On the shape of a pure O-sequence book --Differentiability and unimodality --The interval conjecture for pure O-sequences --Enumerating pure O-sequences --Monomial artinian level algebras of type two in three variables --Failure of the WLP and SLP --Remarks on pure f-vectors --Some open or open-ended problems.

Electronic books: Additional Physical Format: Print version: On the shape of a pure O-sequence (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Mats Boij.

Details On the shape of a pure O-sequence EPUB

On the Shape of a Pure O-sequence. of a matroid M is a pure O-sequence. retriangulations are subtle geometric operations and we refer the reader to the book De Loera et al.

(Algorithms and. Title: On the shape of a pure O-sequence. Authors: M. Boij, J. Migliore, R. Miro'-Roig, U. Nagel, F. Zanello (Submitted on 19 Marlast revised 25 Mar (this version, v2)) Abstract: An order ideal is a finite poset X of (monic) monomials such that, whenever M is in X and N divides M, then N is in X.

If all, say t, maximal monomials of. An order ideal is a finite poset X of (monic) monomials such that, whenever M is in X and N divides M, then N is in X.

If all, say t, maximal monomials of X have the same degree, then X is pure (of type t). A pure O-sequence is the vector, h=(1,h_1,h_e), counting the monomials of X in each degree. Equivalently, in the language of commutative algebra, pure O-sequences are the h-vectors of. On the shape of a pure O-sequence.

By Mats Boij, Juan C Migliore and Rosa M Mir-̤Roig. Topics: Mathematical Physics and Mathematics. Publisher: American Mathematical Society. Year: OAI identifier: oai: Provided by. A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe.

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the f-vector of a Cohen-Macaulay simplicial complex, and therefore is a pure O-sequence. Theproblemofndingnon-unimodalpureO-sequenceshassincebeenstudied byseveralauthors,includingErd¨osandBj¨orner,andnumerousexampleshavebeen found even for special classes of pure O-sequences, such as the f-vectors of pure.

A pure O-sequence is the vector, (h) under bar = (h(0) = 1, h(1),h(e)), counting the monomials of X in each degree. Equivalently, pure O-sequences can be characterized as the f-vectors of pure multicomplexes, or, in the language of commutative algebra, as the h.

1 Jeaman Ahn and Yong Su Shin, Generic initial ideals and graded Artinian-level algebras not having the weak-Lefschetz property, J. Pure Appl. Algebra (), no. 3, – MR/ 2 Yousef Alavi, Paresh J. Malde, Allen J. Schwenk, and Paul Erdős, The vertex independence sequence of a graph is not constrained, Congr.

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