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papers

Publications (52)

math.AC2017

Lefschetz properties for complete intersection ideals generated by products of linear forms

Martina Juhnke-Kubitzke, Rosa M. Miró-Roig, Satoshi Murai +1

math.CO2005

Gotzmann monomial ideals

Satoshi Murai

math.AC2006

Monomial ideals arising from flag complexes whose generic initial ideals do not depend on term orders

Satoshi Murai

math.CO2017

Balanced subdivisions and flips on surfaces

Satoshi Murai, Yusuke Suzuki

math.CO2016

Face numbers and the fundamental group

Satoshi Murai, Isabella Novik

math.CO2006

Generic initial ideals and exterior algebraic shifting of the join of simplicial complexes

Satoshi Murai

math.CO2011

The flag f-vectors of Gorenstein* order complexes of dimension 3

Satoshi Murai, Eran Nevo

math.AC2006

Gin and Lex of certain monomial ideals

Satoshi Murai, Takayuki Hibi

math.AG2016

Hessenberg varieties and hyperplane arrangements

Takuro Abe, Tatsuya Horiguchi, Mikiya Masuda +2

math.CO2018

The numbers of edges of 5-polytopes with a given number of vertices

Takuya Kusunoki, Satoshi Murai

math.AC2009

H-vectors of simplicial complexes with Serre's conditions

Satoshi Murai, Naoki Terai

math.CO2009

Face vectors of two-dimensional Buchsbaum complexes

Satoshi Murai

math.AC2013

On ideals with the Rees property

Juan Migliore, Rosa M. Miró-Roig, Satoshi Murai +2

math.CO2016

Lefschetz properties of balanced 3-polytopes

David Cook, Martina Juhnke-Kubitzke, Satoshi Murai +1

math.CO2016

Face numbers of manifolds with boundary

Satoshi Murai, Isabella Novik

math.AC2012

Regularity bounds for Koszul cycles

Aldo Conca, Satoshi Murai

math.AC2010

Sharp upper bounds of the Betti numbers for a given Hilbert polynomial

Giulio Caviglia, Satoshi Murai

math.AC2019

Betti tables of monomial ideals fixed by permutations of the variables

Satoshi Murai

math.CO2008

Kruskal--Katona type theorems for clique complexes arising from chordal and strongly chordal graphs

Juergen Herzog, Takayuki Hibi, Satoshi Murai +2

math.CO2011

Lefschetz properties and the Veronese construction

Martina Kubitzke, Satoshi Murai

math.AC2008

Algebraic shifting and graded Betti numbers

Takayuki Hibi, Satoshi Murai

math.AC2008

The depth of an ideal with a given Hilbert function

Satoshi Murai, Takayuki Hibi

math.CO2012

On r-stacked triangulated manifolds

Satoshi Murai, Eran Nevo

math.CO2015

Balanced generalized lower bound inequality for simplicial polytopes

Martina Juhnke-Kubitzke, Satoshi Murai

math.CO2012

On the generalized lower bound conjecture for polytopes and spheres

Satoshi Murai, Eran Nevo

math.AC2007

Rigidity of linear strands and generic initial ideals

Satoshi Murai, Pooja Singla

math.AC2018

Solomon-Terao algebra of hyperplane arrangements

Takuro Abe, Toshiaki Maeno, Satoshi Murai +1

math.GT2016

On stacked triangulated manifolds

Basudeb Datta, Satoshi Murai

math.CO2011

Spheres arising from multicomplexes

Satoshi Murai

math.AC2007

Generic initial ideals and squeezed spheres

Satoshi Murai

math.AC2016

A Duality in Buchsbaum rings and triangulated manifolds

Satoshi Murai, Isabella Novik, Ken-ichi Yoshida

math.CO2009

Betti numbers of chordal graphs and $f$-vectors of simplicial complexes

Takayuki Hibi, Kyouko Kimura, Satoshi Murai

math.AT2014

Invariance of Pontrjagin classes for Bott manifolds

Suyoung Choi, Mikiya Masuda, Satoshi Murai

math.CO2011

On the cd-index and gamma-vector of S*-shellable CW-spheres

Satoshi Murai, Eran Nevo

math.CO2006

Algebraic shifting of finite graphs

Satoshi Murai

math.AC2008

Combinatorial shifting and graded Betti numbers

Satoshi Murai, Takayuki Hibi

math.AC2013

On Hilbert functions of general intersections of ideals

Giulio Caviglia, Satoshi Murai

math.CO2010

Face vectors of simplicial cell decompositions of manifolds

Satoshi Murai

math.AC2007

Gotzmann ideals of the polynomial ring

Satoshi Murai, Takayuki Hibi

math.CO2009

Algebraic shifting of strongly edge decomposable spheres

Satoshi Murai

math.CO2005

A combinatorial proof of Gotzmann's persistence theorem for monomial ideals

Satoshi Murai

math.AC2006

Componentwise linear ideals with minimal or maximal Betti numbers

Juergen Herzog, Takayuki Hibi, Satoshi Murai +1

math.CO2013

Squarefree P-modules and the cd-index

Satoshi Murai, Kohji Yanagawa

cs.CG2014

Collection of abstracts of the Workshop on Triangulations in Geometry and Topology at CG Week 2014 in Kyoto

Jonathan Spreer, Uli Wagner, Benjamin A. Burton +3

math.AC2010

Regularity of Canonical and Deficiency modules for Monomial ideals

Manoj Kummini, Satoshi Murai

math.AC2007

Hilbert functions of d-regular ideals

Satoshi Murai

math.CO2017

Local $h$-vectors of Quasi-Geometric and Barycentric Subdivisions

Martina Juhnke-Kubitzke, Satoshi Murai, Richard Sieg

math.AC2016

Uniformly Cohen-Macaulay simplicial complexes and almost Gorenstein* simplicial complexes

Naoyuki Matsuoka, Satoshi Murai

math.AC2008

The Lex-Plus-Powers Conjecture holds for pure powers

Jeff Mermin, Satoshi Murai

math.AC2012

Regularity bounds for binomial edge ideals

Kazunori Matsuda, Satoshi Murai

math.CO2011

h-Vectors of simplicial cell balls

Satoshi Murai

math.CO2016

A generalized lower bound theorem for balanced manifolds

Martina Juhnke-Kubitzke, Satoshi Murai, Isabella Novik +1