• 266 Citations
  • 8 h-Index
20062020

Research output per year

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Research Output

  • 266 Citations
  • 8 h-Index
  • 61 Article
  • 2 Paper
  • 1 Chapter
  • 1 Conference article
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Article
2020

Betti numbers of symmetric shifted ideals

Biermann, J., de Alba, H., Galetto, F., Murai, S., Nagel, U., O'Keefe, A., Römer, T. & Seceleanu, A., 2020 Oct 15, In : Journal of Algebra. 560, p. 312-342 31 p.

Research output: Contribution to journalArticle

2019

Exceptional Balanced Triangulations on Surfaces

Klee, S., Murai, S. & Suzuki, Y., 2019 Nov 1, In : Graphs and Combinatorics. 35, 6, p. 1361-1373 13 p.

Research output: Contribution to journalArticle

Hessenberg varieties and hyperplane arrangements

Abe, T., Horiguchi, T., Masuda, M., Murai, S. & Sato, T., 2019 Jan 1, (Accepted/In press) In : Journal fur die Reine und Angewandte Mathematik.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Local h-Vectors of Quasi-Geometric and Barycentric Subdivisions

Juhnke-Kubitzke, M., Murai, S. & Sieg, R., 2019 Mar 15, In : Discrete and Computational Geometry. 61, 2, p. 364-379 16 p.

Research output: Contribution to journalArticle

Solomon–Terao algebra of hyperplane arrangements

Abe, T., Maeno, T., Murai, S. & Numata, Y., 2019, In : Journal of the Mathematical Society of Japan. 71, 4, p. 1027-1047 21 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

The Numbers of Edges of 5-Polytopes with a Given Number of Vertices

Kusunoki, T. & Murai, S., 2019 Jan 1, In : Annals of Combinatorics.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2018

A generalized lower bound theorem for balanced manifolds

Juhnke-Kubitzke, M., Murai, S., Novik, I. & Sawaske, C., 2018 Aug 1, In : Mathematische Zeitschrift. 289, 3-4, p. 921-942 22 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Balanced generalized lower bound inequality for simplicial polytopes

Juhnke-Kubitzke, M. & Murai, S., 2018 Apr 1, In : Selecta Mathematica, New Series. 24, 2, p. 1677-1689 13 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Balanced subdivisions and flips on surfaces

Murai, S. & Suzuki, Y., 2018 Jan 1, In : Proceedings of the American Mathematical Society. 146, 3, p. 939-951 13 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

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

Juhnke-Kubitzke, M., Miró-Roig, R. M., Murai, S. & Wachi, A., 2018 Jan 1, In : Proceedings of the American Mathematical Society. 146, 8, p. 3249-3256 8 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Lefschetz properties of balanced 3-polytopes

Cook, D., Juhnke-Kubitzke, M., Murai, S. & Nevo, E., 2018, In : Rocky Mountain Journal of Mathematics. 48, 3, p. 769-790 22 p.

Research output: Contribution to journalArticle

2017

A duality in Buchsbaum rings and triangulated manifolds

Murai, S., Novik, I. & Yoshida, K. I., 2017 Jan 1, In : Algebra and Number Theory. 11, 3, p. 635-656 22 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Face numbers and the fundamental group

Murai, S. & Novik, I., 2017 Oct 1, In : Israel Journal of Mathematics. 222, 1, p. 297-315 19 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Face numbers of manifolds with boundary

Murai, S. & Novik, I., 2017, In : International Mathematics Research Notices. 2017, 12, p. 3603-3646 44 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

On stacked triangulated manifolds

Datta, B. & Murai, S., 2017 Oct 6, In : Electronic Journal of Combinatorics. 24, 4, #P4.12.

Research output: Contribution to journalArticle

2016

On hilbert functions of general intersections of ideals

Caviglia, G. & Murai, S., 2016 Jun 1, In : Nagoya Mathematical Journal. 222, p. 61-73 13 p.

Research output: Contribution to journalArticle

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

Matsuoka, N. & Murai, S., 2016 Jun 1, In : Journal of Algebra. 455, p. 14-31 18 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
2015

Invariance of pontrjagin classes for bott manifolds

Choi, S., Masuda, M. & Murai, S., 2015 Apr 22, In : Algebraic and Geometric Topology. 15, 2, p. 965-986 22 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Regularity bounds for Koszul cycles

Conca, A. & Murai, S., 2015 Jan 1, In : Proceedings of the American Mathematical Society. 143, 2, p. 493-503 11 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Tight combinatorial manifolds and graded Betti numbers

Murai, S., 2015 Sep 18, In : Collectanea Mathematica. 66, 3, p. 367-386 20 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
2014

On r-stacked triangulated manifolds

Murai, S. & Nevo, E., 2014 Mar, In : Journal of Algebraic Combinatorics. 39, 2, p. 373-388 16 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Squarefree P-modules and the cd-index

Murai, S. & Yanagawa, K., 2014 Nov 10, In : Advances in Mathematics. 265, p. 241-279 39 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

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

Murai, S. & Nevo, E., 2014 Mar 3, In : Proceedings of the American Mathematical Society. 142, 5, p. 1527-1538 12 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2013

Face vectors of simplicial cell decompositions of manifolds

Murai, S., 2013 Jan 1, In : Israel Journal of Mathematics. 195, 1, p. 187-213 27 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

H-vectors of simplicial cell balls

Murai, S., 2013 Jan 1, In : Transactions of the American Mathematical Society. 365, 3, p. 1533-1550 18 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On ideals with the Rees property

Migliore, J., Miró-Roig, R. M., Murai, S., Nagel, U. & Watanabe, J., 2013 Nov 1, In : Archiv der Mathematik. 101, 5, p. 445-454 10 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On the generalized lower bound conjecture for polytopes and spheres

Murai, S. & Nevo, E., 2013 Apr 4, In : Acta Mathematica. 210, 1, p. 185-202 18 p.

Research output: Contribution to journalArticle

24 Citations (Scopus)

Regularity bounds for binomial edge ideals

Matsuda, K. & Murai, S., 2013 Aug 15, In : Journal of Commutative Algebra. 5, 1, p. 141-149 9 p.

Research output: Contribution to journalArticle

28 Citations (Scopus)

Sharp upper bounds for the betti numbers of a given hilbert polynomial

Caviglia, G. & Murai, S., 2013 Sep 20, In : Algebra and Number Theory. 7, 5, p. 1019-1064 46 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2012

Hilbert schemes and Betti numbers over Clements-Lindström rings

Murai, S. & Peeva, I., 2012 Sep 1, In : Compositio Mathematica. 148, 5, p. 1337-1364 28 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Lefschetz properties and the Veronese construction

Kubitzke, M. & Murai, S., 2012, In : Mathematical Research Letters. 19, 5, p. 1043-1053 11 p.

Research output: Contribution to journalArticle

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

Murai, S. & Nevo, E., 2012 Aug, In : Mathematische Zeitschrift. 271, 3-4, p. 1309-1319 11 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
2011

Applications of mapping cones over Clements-Lindström rings

Gasharov, V., Murai, S. & Peeva, I., 2011 Jan 1, In : Journal of Algebra. 325, 1, p. 34-55 22 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Free resolutions of lex-ideals over a koszul toric ring

Murai, S., 2011 Feb 1, In : Transactions of the American Mathematical Society. 363, 2, p. 857-885 29 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Hilbert schemes and maximal Betti numbers over veronese rings

Gasharov, V., Murai, S. & Peeva, I., 2011 Feb 1, In : Mathematische Zeitschrift. 267, 1, p. 155-172 18 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Regularity of canonical and deficiency modules for monomial ideals

Kummini, M. & Murai, S., 2011 Feb 15, In : Pacific Journal of Mathematics. 249, 2, p. 377-383 7 p.

Research output: Contribution to journalArticle

Spheres arising from multicomplexes

Murai, S., 2011 Nov 1, In : Journal of Combinatorial Theory. Series A. 118, 8, p. 2167-2184 18 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

The Lex-Plus-Powers Conjecture holds for pure powers

Mermin, J. & Murai, S., 2011 Mar 1, In : Advances in Mathematics. 226, 4, p. 3511-3539 29 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)
2010

Algebraic shifting of strongly edge decomposable spheres

Murai, S., 2010 Jan 1, In : Journal of Combinatorial Theory. Series A. 117, 1, p. 1-16 16 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

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

Hibi, T., Kimura, K. & Murai, S., 2010 Mar 15, In : Journal of Algebra. 323, 6, p. 1678-1689 12 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Betti numbers of lex ideals over some Macaulay-Lex rings

Mermin, J. & Murai, S., 2010 Mar 1, In : Journal of Algebraic Combinatorics. 31, 2, p. 299-318 20 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

On face vectors of barycentric subdivisions of manifolds

Murai, S., 2010 Oct 26, In : SIAM Journal on Discrete Mathematics. 24, 3, p. 1019-1037 19 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2009

Algebraic shifting and graded betti numbers

Murai, S. & Hibi, T., 2009 Apr 1, In : Transactions of the American Mathematical Society. 361, 4, p. 1853-1865 13 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Face vectors of two-dimensional buchsbaum complexes

Murai, S., 2009 Jul 13, In : Electronic Journal of Combinatorics. 16, 1, R68.

Research output: Contribution to journalArticle

1 Citation (Scopus)

H-vectors of simplicial complexes with Serre's conditions

Murai, S. & Terai, N., 2009 Nov, In : Mathematical Research Letters. 16, 6, p. 1015-1028 14 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)
2008

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

Murai, S., 2008 Jan 1, In : European Journal of Combinatorics. 29, 1, p. 322-333 12 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Betti numbers of strongly color-stable ideals and squarefree strongly color-stable ideals

Murai, S., 2008 May 1, In : Journal of Algebraic Combinatorics. 27, 3, p. 383-398 16 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Borel-plus-powers monomial ideals

Murai, S., 2008 Jun 1, In : Journal of Pure and Applied Algebra. 212, 6, p. 1321-1336 16 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Componentwise linear ideals with minimal or maximal Betti numbers

Herzog, J., Hibi, T., Murai, S. & Takayama, Y., 2008 Apr 1, In : Arkiv for Matematik. 46, 1, p. 69-75 7 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Gotzmann ideals of the polynomial ring

Murai, S. & Hibi, T., 2008 Nov 1, In : Mathematische Zeitschrift. 260, 3, p. 629-646 18 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)