TERAI Naoki

テライナオキ | TERAI Naoki

Affiliation and department：

Research field (1)： Algebra

Research keywords (2)： edge ideal , Stanley-Reiser ring

Research theme for competitive and other funds (28)：

2018 - 2023 Stanley-Reisner イデアルの算術階数とその記号的べきの射影次元
2014 - 2020 Castelnuovo-Mumford regularity and syzygies for projective varieties and its related topics
2014 - 2017 Arithmetical rank of Stanley-Reisner ideals and projective dimension of their powers
2009 - 2014 Castelnuovo-Mumford regularity for projective variety and its related topics
2011 - 2013 Minimal free resolutions and the arithmetical rank of Stanley-Reisner ideals

2011 - 2013 Motivic structure of nilpotent completions of modular groups

2010 - 2012 Research of ring-invariants associated to powers of ideals

2008 - 2010 Study on the multiplicities and minimal free resolutions of Stanley-Reisner rings

2008 - 2010 Number Theory and its Development to Discrete Mathematics

2008 - 2010 Geometry of modular varieties and congruence, P-adic theory of Siegel modular forms

2007 - 2009 Application of Koszul duality to commutative algebra

2007 - 2009 Research of multiplier ideals and tight closures from viewpoint of commutative algebra and computational algebra

2005 - 2008 Castelnuovo-Mumford regularity for projective varieties

2006 - 2007 Study on minimal free resolution of Stanley-Reisner rings

2006 - 2007 Number Theory, Its Application to Discrete Mathematics and Development

2006 - 2007 New construction of vector bundles on Riemann surfaces and Verlinde's formula

2006 - 2007 Explicit construction of algebraic geometry codes

2004 - 2005 Study on minimal free resolution of Stanley-Reisner rings

2003 - 2005 Study of universal Grobner bases of zero-dimensional lattice ideals

2003 - 2004 VERTEX OPERATOR ALGEBRAS AND MODULI SPACES OF ALGEBRAIC CURVES

2003 - 2003 グレブナー基底の理論的有効性と実践的有効性についての国際研究集会の企画調査

2002 - 2003 Minimum distance of error-correcting codes constructed by algebraic function fields

2002 - 2002 凸多面体を巡る組合せ数学の代数的諸相についての国際研究集会の企画調査

2001 - 2002 Teichmueller groupoids and monodromy in conformal field theory

2000 - 2001 Stanley-Reisner環のBetti数に関する研究

1998 - 1998 Stanley-Reisner環のBetti数に関する研究

1996 - 1996 代数曲線から生成される誤り訂正符号の研究

1995 - 1995 ASLについての研究

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Papers (59)：

M. R. Pournaki, M. Poursoltani, N. Terai, S. Yassemi. On the dimension of dual modules of local cohomology and the Serre's condition for the unmixed Stanley-Reisner ideals of small height. Journal of Algebra. 2023. 632. 751-782
Giancarlo Rinaldo, Naoki Terai. Licci level Stanley-Reisner ideals with height three. Sao Paulo Journal of Mathematical Sciences. 2023. 17. 1. 345-386
M. R. Pournaki, M. Poursoltani, N. Terai, S. Yassemi. Simplicial Complexes Satisfying Serre's Condition versus the Ones Which Are Cohen--Macaulay in a Fixed Codimension. SIAM Journal on Discrete Mathematics. 2022. 36. 4. 2506-2522
M. R. Pournaki, K. Shibata, N. Terai, S. Yassemi. A note on monomial ideals which are Cohen-Macaulay in a fixed codimension. Communications in Algebra. 2022. 50. 11. 4988-4996
Viviana Ene, Giancarlo Rinaldo, Naoki Terai. Sequentially Cohen-Macaulay binomial edge ideals of closed graphs. Research in the Mathematical Sciences. 2022. 9. 3

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MISC (2)：

KIMURA Kyouko, TERAI Naoki, YOSHIDA Ken-ichi. A note on Schmitt-Vogel lemma (Algorithmic and Computational Theory in Algebra and Languages). RIMS Kokyuroku. 2008. 1604. 125-130
KIMURA Kyouko, TERAI Naoki, YOSHIDA Ken-ichi. Arithmetical rank of squarefree monomial ideals(Algebras, Languages, Computations and their Applications). RIMS Kokyuroku. 2007. 1562. 104-113

Professional career (1)：

Association Membership(s) (1)：

日本数学会

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