The h-vector of a Gorenstein codimension three domain
                    
                        
                            نویسندگان
                            
                            
                        
                        
                    
                    
                    چکیده
منابع مشابه
Some Examples of Gorenstein Liaison in Codimension Three
Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison o varieties of codimension 2 in projective space. In this paper we study points in P and cuves in P in an attempt to see how far typical codimension 2 results will extend. While the results are satisfactory for small degree, we find in each case examples where we cannot dec...
متن کاملAn Improved Multiplicity Conjecture for Codimension Three Gorenstein Algebras
The Multiplicity Conjecture is a deep problem relating the multiplicity (or degree) of a Cohen-Macaulay standard graded algebra with certain extremal graded Betti numbers in its minimal free resolution. In the case of level algebras of codimension three, Zanello has proposed a stronger conjecture. We prove this conjecture for the case of codimension three graded Gorenstein algebras.
متن کاملOn the Weak Lefschetz Property for Artinian Gorenstein Algebras of Codimension Three
We study the problem of whether an arbitrary codimension three graded artinian Gorenstein algebra has the Weak Lefschetz Property. We reduce this problem to checking whether it holds for all compressed Gorenstein algebras of odd socle degree. In the first open case, namely Hilbert function (1, 3, 6, 6, 3, 1), we give a complete answer in every characteristic by translating the problem to one of...
متن کاملThe h-Vector of a Gorenstein Toric Ring of a Compressed Polytope
A compressed polytope is an integral convex polytope all of whose pulling triangulations are unimodular. A (q − 1)-simplex Σ each of whose vertices is a vertex of a convex polytope P is said to be a special simplex in P if each facet of P contains exactly q − 1 of the vertices of Σ. It will be proved that there is a special simplex in a compressed polytope P if (and only if) its toric ring K[P]...
متن کاملOn the degree two entry of a Gorenstein h-vector and a conjecture of Stanley
In this note we establish a (non-trivial) lower bound on the degree two entry h2 of a Gorenstein h-vector of any given socle degree e and any codimension r. In particular, when e = 4, that is for Gorenstein h-vectors of the form h = (1, r, h2, r, 1), our lower bound allows us to prove a conjecture of Stanley on the order of magnitude of the minimum value, say f(r), that h2 may assume. In fact, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1995
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000005201