Chestnov, Vsevolod; Gasparotto, Federico; Mandal, Manoj K.; Mastrolia, Pierpaolo; Matsubara-Heo, Saiei J.; Munch, Henrik J.; Takayama, Nobuki Macaulay matrix for Feynman integrals: linear relations and intersection numbers. (English) Zbl 07647551 J. High Energy Phys. 2022, No. 9, Paper No. 187, 57 p. (2022). MSC: 81Q30 81T18 81U05 PDFBibTeX XMLCite \textit{V. Chestnov} et al., J. High Energy Phys. 2022, No. 9, Paper No. 187, 57 p. (2022; Zbl 07647551) Full Text: DOI arXiv
Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki An algorithm of computing cohomology intersection number of hypergeometric integrals. (English) Zbl 1510.33014 Nagoya Math. J. 246, 256-272 (2022). MSC: 33C60 33C70 33F99 68W30 32G34 14D05 14J28 14F10 PDFBibTeX XMLCite \textit{S.-J. Matsubara-Heo} and \textit{N. Takayama}, Nagoya Math. J. 246, 256--272 (2022; Zbl 1510.33014) Full Text: DOI arXiv
Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki Algorithms for Pfaffian systems and cohomology intersection numbers of hypergeometric integrals. (English) Zbl 1503.33014 Bigatti, Anna Maria (ed.) et al., Mathematical software – ICMS 2020. 7th international conference, Braunschweig, Germany, July 13–16, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12097, 73-84 (2020). MSC: 33C70 13P10 14F10 68W30 PDFBibTeX XMLCite \textit{S.-J. Matsubara-Heo} and \textit{N. Takayama}, Lect. Notes Comput. Sci. 12097, 73--84 (2020; Zbl 1503.33014) Full Text: DOI
Takayama, Nobuki; Kuriki, Satoshi; Takemura, Akimichi \(A\)-hypergeometric distributions and Newton polytopes. (English) Zbl 1391.33030 Adv. Appl. Math. 99, 109-133 (2018). MSC: 33C70 62H12 62H17 PDFBibTeX XMLCite \textit{N. Takayama} et al., Adv. Appl. Math. 99, 109--133 (2018; Zbl 1391.33030) Full Text: DOI arXiv
Koike, K.; Shiga, H.; Takayama, N.; Tsutsui, T. Study on the family of \(K3\) surfaces induced from the lattice \((D_ 4)^ 3\oplus\langle-2\rangle\oplus\langle 2\rangle\). (English) Zbl 1079.14518 Int. J. Math. 12, No. 9, 1049-1085 (2001). MSC: 14J28 14K99 33C70 PDFBibTeX XMLCite \textit{K. Koike} et al., Int. J. Math. 12, No. 9, 1049--1085 (2001; Zbl 1079.14518) Full Text: DOI arXiv
Majima, Hideyuki; Matsumoto, Kenji; Takayama, Nobuki Quadratic relations for confluent hypergeometric functions. (English) Zbl 1006.33004 Tohoku Math. J., II. Ser. 52, No. 4, 489-513 (2000). Reviewer: H.Kimura (Kamamoto) MSC: 33C15 PDFBibTeX XMLCite \textit{H. Majima} et al., Tôhoku Math. J. (2) 52, No. 4, 489--513 (2000; Zbl 1006.33004) Full Text: DOI
Sekiguchi, Jiro; Takayama, Nobuki Compactifications of the configuration space of six points of the projective plane and fundamental solutions of the hypergeometric system of type \((3,6)\). (English) Zbl 0902.33006 Tôhoku Math. J., II. Ser. 49, No. 3, 379-413 (1997). Reviewer: T.Sasaki (Kobe) MSC: 33C70 14M15 14M25 PDFBibTeX XMLCite \textit{J. Sekiguchi} and \textit{N. Takayama}, Tôhoku Math. J. (2) 49, No. 3, 379--413 (1997; Zbl 0902.33006) Full Text: DOI
Matsumoto, Keiji; Sasaki, Takeshi; Takayama, Nobuki; Yoshida, Masaaki Monodromy of the hypergeometric differential equation of type \((3,6)\). II: The unitary reflection group of order \(2^ 9\cdot 3^ 7\cdot 5\cdot 7\). (English) Zbl 0810.33009 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 20, No. 4, 617-631 (1993). MSC: 33C80 33C70 14D05 14L24 PDFBibTeX XMLCite \textit{K. Matsumoto} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 20, No. 4, 617--631 (1993; Zbl 0810.33009) Full Text: Numdam EuDML
Matsumoto, Keiji; Sasaki, Takeshi; Takayama, Nobuki; Yoshida, Masaaki Monodromy of the hypergeometric differential equation of type (3,6). I. (English) Zbl 0799.33008 Duke Math. J. 71, No. 2, 403-426 (1993). Reviewer: T.Sasaki (Kobe) MSC: 33C70 33C80 PDFBibTeX XMLCite \textit{K. Matsumoto} et al., Duke Math. J. 71, No. 2, 403--426 (1993; Zbl 0799.33008) Full Text: DOI