On the shape of a pure Osequence
 2011
 4.76 MB
 9457 Downloads
 English
American Mathematical Society , Providence, R.I
Commutative algebra, Partially ordered sets, Artin alg
Statement  Mats Boij ... [et al.]. 
Series  Memoirs of the American Mathematical Society  no. 1024 
Classifications  

LC Classifications  QA251.3 .O54 2011 
The Physical Object  
Pagination  p. cm. 
ID Numbers  
Open Library  OL25270096M 
ISBN 13  9780821869109 
LC Control Number  2012007082 
: On the Shape of a Pure Osequence (Memoirs of the American Mathematical Society) (): Boij, Mats, Migliore, Juan C., Miroroig, 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 đsequence. Introduction Definitions and preliminary On the shape of a pure Osequence book Differentiability and unimodality The interval conjecture for pure Osequences Enumerating pure Osequences Monomial artinian level algebras of type two in three variables Failure of the WLP and SLP Remarks on pure fvectors Some open or openended problems.
Electronic books: Additional Physical Format: Print version: On the shape of a pure Osequence (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 Osequence EPUB
On the Shape of a Pure Osequence. of a matroid M is a pure Osequence. 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 Osequence. 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 Osequence 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 Osequences are the hvectors of. On the shape of a pure Osequence.
By Mats Boij, Juan C Migliore and Rosa M MirĚ¤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 shapeâthe CalabiYau manifoldâthat may store the hidden dimensions of our universe.
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the fvector of a CohenMacaulay simplicial complex, and therefore is a pure Osequence. TheproblemofďŹndingnonunimodalpureOsequenceshassincebeenstudied byseveralauthors,includingErdÂ¨osandBjÂ¨orner,andnumerousexampleshavebeen found even for special classes of pure Osequences, such as the fvectors of pure.
A pure Osequence is the vector, (h) under bar = (h(0) = 1, h(1),h(e)), counting the monomials of X in each degree. Equivalently, pure Osequences can be characterized as the fvectors 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 Artinianlevel algebras not having the weakLefschetz property, J. Pure Appl. Algebra (), no. 3, â MR/ 2 Yousef Alavi, Paresh J. Malde, Allen J. Schwenk, and Paul ErdĹs, The vertex independence sequence of a graph is not constrained, Congr.
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