scholarly journals Face Vectors of Two-Dimensional Buchsbaum Complexes

10.37236/157 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Satoshi Murai
Keyword(s):  
Simplicial Complexes ◽  
Two Dimensional ◽  
Face Vectors

In this paper, we characterize all possible $h$-vectors of $2$-dimensional Buchsbaum simplicial complexes.

SUPERCONFORMAL CONSTRUCTIONS ON TWO-DIMENSIONAL SIMPLICIAL COMPLEXES

1992 ◽  
Vol 07 (13) ◽  
pp. 3065-3082 ◽  
Author(s):  
M. B. HALPERN ◽  
N. A. OBERS
Keyword(s):  
Master Equation ◽  
Central Charge ◽  
Simplicial Complexes ◽  
Large Set ◽  
Two Dimensional ◽  
Infinite Class ◽  
Generic Construction

The superconformal master equation contains a large set of solvable fermionic constructions which live on an infinite class of 2-dimensional simplicial complexes. All the constructions have rational central charge, and irrational conformal weights are expected in the generic construction.

scholarly journals Golodness and polyhedral products for two-dimensional simplicial complexes

2018 ◽  
Vol 30 (2) ◽  
pp. 527-532
Author(s):  
Kouyemon Iriye ◽  
Daisuke Kishimoto
Keyword(s):  
Simplicial Complex ◽  
Simplicial Complexes ◽  
Two Dimensional ◽  
Dimensional Simplicial Complex

AbstractGolodness of two-dimensional simplicial complexes is studied through polyhedral products, and combinatorial and topological characterizations of Golodness of surface triangulations are given. An answer to the question of Berglund is also given so that there is a two-dimensional simplicial complex which is rationally Golod but not Golod over{\mathbb{Z}/p}.

On the boundary of a special class of hyperbolic two-dimensional simplicial complexes

2009 ◽  
Vol 94 (1-2) ◽  
pp. 7-30
Author(s):  
Charalambos Charitos ◽  
Ioannis Papadoperakis ◽  
Emmanuel Vrontakis
Keyword(s):  
Special Class ◽  
Simplicial Complexes ◽  
Two Dimensional

scholarly journals Face numbers of pseudomanifolds with isolated singularities

2012 ◽  
Vol 110 (2) ◽  
pp. 198 ◽  
Author(s):  
Isabella Novik ◽  
Ed Swartz
Keyword(s):  
Simplicial Complex ◽  
Upper Bound ◽  
Hilbert Function ◽  
Simplicial Complexes ◽  
Topological Invariant ◽  
Two Dimensional ◽  
Isolated Singularities ◽  
Face Ring ◽  
The Face

We investigate the face numbers of simplicial complexes with Buchsbaum vertex links, especially pseudomanifolds with isolated singularities. This includes deriving Dehn-Sommerville relations for pseudomanifolds with isolated singularities and establishing lower and upper bound theorems when the singularities are also homologically isolated. We give formulas for the Hilbert function of a generic Artinian reduction of the face ring when the singularities are homologically isolated and for any pure two-dimensional complex. Some examples of spaces where the $f$-vector can be completely characterized are described. We also show that the Hilbert function of a generic Artinian reduction of the face ring of a simplicial complex $\Delta$ with isolated singularities minus the $h$-vector of $\Delta$ is a PL-topological invariant.

scholarly journals Face vectors of subdivided simplicial complexes

2012 ◽  
Vol 312 (2) ◽  
pp. 248-257 ◽  
Author(s):  
Emanuele Delucchi ◽  
Aaron Pixton ◽  
Lucas Sabalka
Keyword(s):  
Simplicial Complexes ◽  
Face Vectors

scholarly journals Decompositions of two-dimensional simplicial complexes

2008 ◽  
Vol 308 (11) ◽  
pp. 2307-2312 ◽  
Author(s):  
Masahiro Hachimori
Keyword(s):  
Simplicial Complexes ◽  
Two Dimensional

scholarly journals On the $h$-vectors of Cohen-Macaulay Flag Complexes

2013 ◽  
Vol 112 (1) ◽  
pp. 86 ◽  
Author(s):  
Alexandru Constantinescu ◽  
Matteo Varbaro
Keyword(s):  
Simplicial Complexes ◽  
Face Vectors ◽  
Flag Complexes

Starting from an unpublished conjecture of Kalai and from a conjecture of Eisenbud, Green and Harris, we study several problems relating $h$-vectors of Cohen-Macaulay, flag simplicial complexes and face vectors of simplicial complexes.

Spectrophotometric measurements of objective-prism spectra

1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler
Keyword(s):  
Progress Report ◽  
Two Dimensional ◽  
Objective Prism ◽  
Made In

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.

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