Matsumoto, Keiji; Osafune, Shohei; Terasoma, Tomohide Schwarz’s map for Appell’s second hypergeometric system with quarter integer parameters. (English) Zbl 07473232 Tohoku Math. J. (2) 74, No. 1, 109-149 (2022). Reviewer: Shaul Zemel (Jerusalem) MSC: 14H40 33C65 14H42 32G20 14K25 PDF BibTeX XML Cite \textit{K. Matsumoto} et al., Tohoku Math. J. (2) 74, No. 1, 109--149 (2022; Zbl 07473232) Full Text: DOI arXiv OpenURL
Lario, Joan-C.; Somoza, Anna; Vincent, Christelle An inverse Jacobian algorithm for Picard curves. (English) Zbl 1482.14035 Res. Number Theory 7, No. 2, Paper No. 32, 23 p. (2021). Reviewer: Cherng-tiao Perng (Norfolk) MSC: 14H25 11G15 11G30 14H45 14K25 14Q05 PDF BibTeX XML Cite \textit{J.-C. Lario} et al., Res. Number Theory 7, No. 2, Paper No. 32, 23 p. (2021; Zbl 1482.14035) Full Text: DOI arXiv OpenURL
Cléry, Fabien; Ferapontov, Evgeny V. Dispersionless Hirota equations and the genus 3 hyperelliptic divisor. (English) Zbl 1441.35096 Commun. Math. Phys. 376, No. 2, 1397-1412 (2020). MSC: 35C08 35H10 35B06 PDF BibTeX XML Cite \textit{F. Cléry} and \textit{E. V. Ferapontov}, Commun. Math. Phys. 376, No. 2, 1397--1412 (2020; Zbl 1441.35096) Full Text: DOI arXiv OpenURL
Shiga, Hironori The Shimura canonical model for the quaternion algebra of discriminant 6 on the Ihara-Kurihara conic. (English) Zbl 1444.11129 J. Number Theory 201, 257-279 (2019). MSC: 11G15 11G18 14G35 33C05 PDF BibTeX XML Cite \textit{H. Shiga}, J. Number Theory 201, 257--279 (2019; Zbl 1444.11129) Full Text: DOI OpenURL
Börner, Michel; Bouw, Irene I.; Wewers, Stefan Picard curves with small conductor. (English) Zbl 1402.14037 Böckle, Gebhard (ed.) et al., Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer (ISBN 978-3-319-70565-1/hbk; 978-3-319-70566-8/ebook). 97-122 (2017). MSC: 14H25 11G30 14H45 PDF BibTeX XML Cite \textit{M. Börner} et al., in: Algorithmic and experimental methods in algebra, geometry, and number theory. Cham: Springer. 97--122 (2017; Zbl 1402.14037) Full Text: DOI arXiv OpenURL
Xie, Baohua Generators of the sister of Euclidean Picard modular groups. (English) Zbl 1368.32012 Math. Z. 286, No. 1-2, 521-543 (2017). MSC: 32M05 22E40 32M15 PDF BibTeX XML Cite \textit{B. Xie}, Math. Z. 286, No. 1--2, 521--543 (2017; Zbl 1368.32012) Full Text: DOI arXiv OpenURL
Belolipetsky, Mikhail Arithmetic hyperbolic reflection groups. (English) Zbl 1342.22017 Bull. Am. Math. Soc., New Ser. 53, No. 3, 437-475 (2016). Reviewer: Erich W. Ellers (Toronto) MSC: 22E40 22-02 11F06 11H56 20H15 51F15 PDF BibTeX XML Cite \textit{M. Belolipetsky}, Bull. Am. Math. Soc., New Ser. 53, No. 3, 437--475 (2016; Zbl 1342.22017) Full Text: DOI arXiv OpenURL
Schultz, Daniel Cubic modular equations in two variables. (English) Zbl 1331.11028 Adv. Math. 290, 329-363 (2016). Reviewer: P. K. Banerji (Jodhpur) MSC: 11F03 14H42 33C65 33D80 PDF BibTeX XML Cite \textit{D. Schultz}, Adv. Math. 290, 329--363 (2016; Zbl 1331.11028) Full Text: DOI OpenURL
McMullen, Curtis T. Braid groups and Hodge theory. (English) Zbl 1290.30050 Math. Ann. 355, No. 3, 893-946 (2013). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 30F10 14H15 14H45 14H10 32G15 30F60 PDF BibTeX XML Cite \textit{C. T. McMullen}, Math. Ann. 355, No. 3, 893--946 (2013; Zbl 1290.30050) Full Text: DOI Link OpenURL
Petkova, Maria; Shiga, Hironori A new interpretation of the Shimura curve with discriminant 6 in terms of Picard modular forms. (English) Zbl 1219.11092 Arch. Math. 96, No. 4, 335-348 (2011). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{M. Petkova} and \textit{H. Shiga}, Arch. Math. 96, No. 4, 335--348 (2011; Zbl 1219.11092) Full Text: DOI Link OpenURL
Zhao, Tiehong A minimal volume arithmetic cusped complex hyperbolic orbifold. (English) Zbl 1254.32040 Math. Proc. Camb. Philos. Soc. 150, No. 2, 313-342 (2011). MSC: 32Q45 20H10 57M50 PDF BibTeX XML Cite \textit{T. Zhao}, Math. Proc. Camb. Philos. Soc. 150, No. 2, 313--342 (2011; Zbl 1254.32040) Full Text: DOI OpenURL
Falbel, Elisha; Francsics, Gábor; Parker, John R. The geometry of the Gauss-Picard modular group. (English) Zbl 1213.14049 Math. Ann. 349, No. 2, 459-508 (2011). Reviewer: B. Z. Moroz (Bonn) MSC: 14G35 22E40 11F06 11E57 20G30 53C35 32M15 PDF BibTeX XML Cite \textit{E. Falbel} et al., Math. Ann. 349, No. 2, 459--508 (2011; Zbl 1213.14049) Full Text: DOI OpenURL
Matsumoto, Keiji; Shiga, Hironori A variant of Jacobi type formula for Picard curves. (English) Zbl 1188.33022 J. Math. Soc. Japan 62, No. 1, 305-319 (2010). Reviewer: Remke Kloosterman (Berlin) MSC: 33C65 14K25 PDF BibTeX XML Cite \textit{K. Matsumoto} and \textit{H. Shiga}, J. Math. Soc. Japan 62, No. 1, 305--319 (2010; Zbl 1188.33022) Full Text: DOI OpenURL
Upton, M. G. Galois representations attached to Picard curves. (English) Zbl 1230.11071 J. Algebra 322, No. 4, 1038-1059 (2009). MSC: 11F80 11G10 PDF BibTeX XML Cite \textit{M. G. Upton}, J. Algebra 322, No. 4, 1038--1059 (2009; Zbl 1230.11071) Full Text: DOI OpenURL
Koike, Kenji; Shiga, Hironori Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean. (English) Zbl 1128.11026 J. Number Theory 124, No. 1, 123-141 (2007). Reviewer: Samuel James Patterson (Göttingen) MSC: 11F55 PDF BibTeX XML Cite \textit{K. Koike} and \textit{H. Shiga}, J. Number Theory 124, No. 1, 123--141 (2007; Zbl 1128.11026) Full Text: DOI Link OpenURL
Allcock, Daniel; Carlson, James A.; Toledo, Domingo Nonarithmetic uniformization of some real moduli spaces. (English) Zbl 1122.14039 Geom. Dedicata 122, 159-169, erratum 171 (2006). Reviewer: Frédéric Mangolte (Le Bourget du Lac) MSC: 14P25 20H15 PDF BibTeX XML Cite \textit{D. Allcock} et al., Geom. Dedicata 122, 159--169, erratum 171 (2006; Zbl 1122.14039) Full Text: DOI OpenURL
Falbel, Elisha; Parker, John R. The geometry of the Eisenstein-Picard modular group. (English) Zbl 1109.22007 Duke Math. J. 131, No. 2, 249-289 (2006). Reviewer: Rainer Schimming (Greifswald) MSC: 22E40 11F60 11F55 PDF BibTeX XML Cite \textit{E. Falbel} and \textit{J. R. Parker}, Duke Math. J. 131, No. 2, 249--289 (2006; Zbl 1109.22007) Full Text: DOI Euclid OpenURL
Matsumoto, Keiji; Yoshida, Masaaki Configuration space of 8 points on the projective line and a 5-dimensional Picard modular group. (English) Zbl 0809.14044 Compos. Math. 86, No. 3, 265-280 (1993). Reviewer: K.Matsumoto (Hiroshima) MSC: 14J15 11F55 32N15 14N10 14N05 14H30 PDF BibTeX XML Cite \textit{K. Matsumoto} and \textit{M. Yoshida}, Compos. Math. 86, No. 3, 265--280 (1993; Zbl 0809.14044) Full Text: Numdam EuDML OpenURL
Feustel, Jan Eine Klassenzahlformel für singuläre Moduln der Picardschen Modulgruppen. (A class number formula for singular moduli of Picard modular groups). (German) Zbl 0732.14016 Compos. Math. 76, No. 1-2, 87-100 (1990). Reviewer: F.W.Knoeller (Marburg) MSC: 14C22 14D20 14G35 11R11 14K30 11R29 PDF BibTeX XML Cite \textit{J. Feustel}, Compos. Math. 76, No. 1--2, 87--100 (1990; Zbl 0732.14016) Full Text: Numdam EuDML OpenURL
Matsumoto, Keiji On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3. (English) Zbl 0708.11029 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 16, No. 4, 557-578 (1989). Reviewer: R.Salvati-Manni MSC: 11F55 14H52 PDF BibTeX XML Cite \textit{K. Matsumoto}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 16, No. 4, 557--578 (1989; Zbl 0708.11029) Full Text: Numdam EuDML OpenURL
Shiga, Hironori On the representation of the Picard modular function by \(\theta\) constants. I-II. (English) Zbl 0678.10020 Publ. Res. Inst. Math. Sci. 24, No. 3, 311-360 (1988). Reviewer: K.Katayama MSC: 11F27 PDF BibTeX XML Cite \textit{H. Shiga}, Publ. Res. Inst. Math. Sci. 24, No. 3, 311--360 (1988; Zbl 0678.10020) Full Text: DOI OpenURL
Yoshida, Masaaki Orbifold-uniformizing differential equations. (English) Zbl 0521.58052 Math. Ann. 267, 125-142 (1984). MSC: 37C80 32M15 14F10 57S30 32M10 PDF BibTeX XML Cite \textit{M. Yoshida}, Math. Ann. 267, 125--142 (1984; Zbl 0521.58052) Full Text: DOI EuDML OpenURL
Yamazaki, Tadashi; Yoshida, Masaaki On Hirzebruch’s examples of surfaces with \(c^2_1=3c_2\). (English) Zbl 0513.14008 Math. Ann. 266, 421-431 (1984). MSC: 14F35 14E20 14J25 PDF BibTeX XML Cite \textit{T. Yamazaki} and \textit{M. Yoshida}, Math. Ann. 266, 421--431 (1984; Zbl 0513.14008) Full Text: DOI EuDML OpenURL
Laville, G. Mesures pluriharmoniques et comparaison de deux théories du potentiel au bord. (French) Zbl 0489.31008 J. Funct. Anal. 45, 119-137 (1982). MSC: 31C10 31B25 PDF BibTeX XML Cite \textit{G. Laville}, J. Funct. Anal. 45, 119--137 (1982; Zbl 0489.31008) Full Text: DOI OpenURL
Shiga, Hironori One attempt to the K3 modular function. II. (English) Zbl 0501.14019 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 8, 157-182 (1981). MSC: 14J10 14K10 14J25 14J15 14H52 PDF BibTeX XML Cite \textit{H. Shiga}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 8, 157--182 (1981; Zbl 0501.14019) Full Text: Numdam EuDML OpenURL
Shiga, Hironori One attempt to the K3 modular function. I. (English) Zbl 0427.14013 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 6, 609-635 (1979). MSC: 14J25 11F27 32N05 32J15 PDF BibTeX XML Cite \textit{H. Shiga}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 6, 609--635 (1979; Zbl 0427.14013) Full Text: Numdam EuDML OpenURL
Myrberg, P. J. Sur les fonctions automorphes. (French) Zbl 0045.19203 Ann. Sci. Éc. Norm. Supér., III. Sér. 68, 383-424 (1951). Reviewer: A. Pfluger MSC: 30F35 PDF BibTeX XML Cite \textit{P. J. Myrberg}, Ann. Sci. Éc. Norm. Supér. (3) 68, 383--424 (1951; Zbl 0045.19203) Full Text: DOI Numdam EuDML OpenURL
Belardinelli, G. Sulle funzioni ipergeometriche. (Italian) JFM 59.1052.06 Rendiconti Seminario Milano 7, 77-113 (1933). Reviewer: Hahn, Wolfgang, Dr. (Berlin) PDF BibTeX XML Cite \textit{G. Belardinelli}, Rend. Semin. Mat. Fis. Milano 7, 77--113 (1933; JFM 59.1052.06) Full Text: DOI OpenURL