SU\G(𝔸)/K·U

Hironori Shiga

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All published works
Action Title Year Authors
+ PDF Chat On Kummer‐like surfaces attached to singularity and modular forms 2023 Atsuhira Nagano
Hironori Shiga
+ PDF Chat Geometric Interpretation of Hermitian Modular Forms via Burkhardt Invariants 2022 Atsuhira Nagano
Hironori Shiga
+ Geometric interpretation of Hermitian modular forms via Burkhardt invariants 2020 Atsuhira Nagano
Hironori Shiga
+ On Kummer-like surfaces attached to singularity and modular forms 2020 Atsuhira Nagano
Hironori Shiga
+ The Shimura canonical model for the quaternion algebra of discriminant 6 on the Ihara-Kurihara conic 2019 Hironori Shiga
+ One visualization of Shimura's complex multiplication theorem via hypergeometric modular functions (Algebraic Number Theory and Related Topics 2015) 2018 Hironori Shiga
Atsuhira Nagano
+ PDF Chat To the Hilbert class field from the hypergeometric modular function 2016 Atsuhira Nagano
Hironori Shiga
+ Some Classical Problems in Number Theory via the Theory of K3 Surfaces 2014 Hironori Shiga
+ Modular map for the family of abelian surfaces via elliptic<i>K</i>3 surfaces 2014 Atsuhira Nagano
Hironori Shiga
+ PDF Chat A new interpretation of the Shimura curve with discriminant 6 in terms of Picard modular forms 2011 Maria Petkova
Hironori Shiga
+ PDF Chat A JACOBI-TYPE FORMULA FOR A FAMILY OF HYPERELLIPTIC CURVES OF GENUS 3 WITH AUTOMORPHISM OF ORDER 4 2011 Hironori Shiga
+ Jacobi's theta-hypergeometric formula in 2 variables : some applications of the modular forms on the hyperball (Automorphic forms, automorphic representations and related topics) 2010 Hironori Shiga
+ PDF Chat A variant of Jacobi type formula for Picard curves 2010 Keiji Matsumoto
Hironori Shiga
+ PDF Chat ARITHMETIC PROPERTIES OF SCHWARZ MAPS 2009 Hironori Shiga
Yoshio Suzuki
Jürgen Wolfart
+ PDF Chat An extended Gauss AGM and corresponding Picard modular forms 2008 Kenji Koike
Hironori Shiga
+ PDF Chat Algebraic Values of Schwarz Triangle Functions 2007 Hironori Shiga
Jürgen Wolfart
+ PDF Chat Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean 2006 Kenji Koike
Hironori Shiga
+ Appendix: Periods on the Kummer surface 2005 Hironori Shiga
+ Triangle Fuchsian differential equations with apparent singularities 2004 Hironori Shiga
Toru Tsutsui
Jürgen Wolfart
+ The family of $K3$ surfaces with a transcendental lattice $U(2)^2× ^4$ for a general member (Automorphic forms on type IV symmetric domains) 2003 Kenji Koike
Hironori Shiga
+ The mirror map for a family of 𝐾3 surfaces induced from the simplest 3-dimensional reflexive polytope 2001 Norihiko Narumiya
Hironori Shiga
+ STUDY ON THE FAMILY OF K3 SURFACES INDUCED FROM THE LATTICE (D<sub>4</sub>)<sup>3</sup>⊕ &lt;-2&gt; ⊕ &lt; 2&gt;: STUDY ON THE FAMILY OF K3 SURFACES 2001 Kazuhiko Koike
Hironori Shiga
Nobuki Takayama
Toru Tsutsui
+ Summary note on the moduli of punctured tori and related Fuchsian differential equations (Integral representations and twisted cohomology in the theory of differential equations) 2001 Hironori Shiga
Toru Tsutsui
Jürgen Wolfart
+ Study on the family of K3 surfaces induced from the lattice $(D_4)^3 \oplus \oplus 2000 Kazuhiko Koike
Hironori Shiga
Nobuki Takayama
Toru Tsutsui
+ PDF Chat NOTES ON A CERTAIN INTEGRAL ORTHOGONAL GROUP AND ITS QUOTIENT BY THE PRINCIPAL CONGRUENCE SUBGROUP OF LEVEL 2 2000 Masaaki Kitazume
Kenji Koike
Hironori Shiga
+ Study on the family of K3 surfaces induced from the lattice $(D_4)^3 \oplus &lt; -2 &gt; \oplus &lt; 2 &gt; 2000 Kazuhiko Koike
Hironori Shiga
Nobuki Takayama
Toru Tsutsui
+ On the arithmetic properties of the modular function induced from the hypergeometric differential equation of type (3,6) 1997 Hironori Shiga
+ Criteria for complex multiplication and transcendence properties of automorphic functions. 1995 Hironori Shiga
Jürgen Wolfart
+ PDF Chat On the representation of the Picard modular function by $θ$ constants I-II 1988 Hironori Shiga
+ PDF Chat On the Algebraicity of the Ratio of Special Theta Constants 1988 Hironori Shiga
+ One attempt to the $K3$ modular function - II 1979 Hironori Shiga
+ PDF Chat On the automorphism of C2 with invariant axes 1977 Hironori Shiga
+ PDF Chat On the pair of functions on $C^2$ reduced to a pair of rational functions 1975 Hironori Shiga
Common Coauthors
Coauthor Papers Together
Atsuhira Nagano 7
Toru Tsutsui 5
Jürgen Wolfart 5
Kenji Koike 4
Kazuhiko Koike 3
Nobuki Takayama 3
Keiji Matsumoto 1
Norihiko Narumiya 1
Masaaki Kitazume 1
Yoshio Suzuki 1
Maria Petkova 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Sur des fonctions de deux variables indépendantes analogues aux fonctions modulaires 1883 Émile Picard
 6
+ PDF Chat On the representation of the Picard modular function by $θ$ constants I-II 1988 Hironori Shiga
 5
+ Criteria for complex multiplication and transcendence properties of automorphic functions. 1995 Hironori Shiga
Jürgen Wolfart
 5
+ On Analytic Families of Polarized Abelian Varieties and Automorphic Functions 1963 Goro Shimura
 4
+ PDF Chat Arithmetic triangle groups 1977 Kisao Takeuchi
 4
+ THE MONODROMY OF THE PERIOD MAP OF A 4-PARAMETER FAMILY OF K3 SURFACES AND THE HYPERGEOMETRIC FUNCTION OF TYPE (3, 6) 1992 Keiji Matsumoto
Takeshi Sasaki
Masaaki Yoshida
 4
+ Fuchsian Differential Equations 1987 Masaaki Yoshida
 3
+ Lattice polarized K3 surfaces and Siegel modular forms 2012 Adrian Clingher
Charles F. Doran
 3
+ PDF Chat On the family of pentagonal curves of genus 6 and associated modular forms on the ball 2003 Kenji Koike
 3
+ PDF Chat Equivalence problem and automorphism groups of certain compact Riemann surfaces 1981 Makoto Namba
 3
+ Werte hypergeometrischer funktionen 1988 J�rgen Wolfart
 3
+ One attempt to the $K3$ modular function - II 1979 Hironori Shiga
 3
+ PDF Chat Fonctions hypergéométriques F1 et fonctions automorphes I 1983 Toshiaki Terada
 3
+ PDF Chat Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean 2006 Kenji Koike
Hironori Shiga
 3
+ Sur les fonctions hypergéométriques de plusieurs variables les polynomes d'hermite et autres fonctions sphériques dans l'hyperespace 1925 Paul Appell
 3
+ Abelian Varieties with Complex Multiplication and Modular Functions 1998 Goro Shimura
 3
+ PDF Chat Monodromy of hypergeometric functions and non-lattice integral monodromy 1986 Pierre Deligne
G. D. Mostow
 3
+ PDF Chat A cubic counterpart of Jacobi’s identity and the AGM 1991 Jonathan M. Borwein
P. B. Borwein
 3
+ INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS 1980 Vadim V. Nikulin
 3
+ Algebraische Punkte auf Analytischen Untergruppen algebraischer Gruppen 1989 Gisbert Wüstholz
 3
+ PDF Chat CERTAIN REFLECTION GROUPS ACTING ON SYMMETRIC DOMAINS OF TYPE IV 1992 Keiji Matsumoto
Masaaki Yoshida
 3
+ Inverse period mappings of K3 surfaces and a construction of modular forms for a lattice with the Kneser conditions 2020 Atsuhira Nagano
 2
+ On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3 1989 Keiji Matsumoto
 2
+ A theta expression of the Hilbert modular functions for 5 via the periods of K3 surfaces 2013 Atsuhira Nagano
 2
+ Construction of Class Fields and Zeta Functions of Algebraic Curves 1967 Goro Shimura
 2
+ Mathematisches Tagebuch : 1796-1814 2005 Carl Friedrich Gauß
 2
+ PDF Chat Shimura curve computations 1998 Noam D. Elkies
 2
+ Abelian varieties associated to certain K3 surfaces 1988 Kapil H. Paranjape
 2
+ PDF Chat ON THE SYSTEM OF DIFFERENTIAL EQUATIONS ASSOCIATED WITH A QUADRIC AND HYPERPLANES 1996 Keiji Matsumoto
Takeshi Sasaki
 2
+ Number Theory 1: Fermat's Dream 2000 Kazuya Kato
Nobushige Kurokawa
Takeshi Saito
 2
+ Principles of Algebraic Geometry 1978 Phillip Griffiths
Joseph Harris
 2
+ Hilbertsche Modulformen und Modulfunktionen zu $$\mathbb{Q}(\sqrt 5 )$$ 1985 Rolf M�ller
 2
+ Triangle Fuchsian differential equations with apparent singularities 2004 Hironori Shiga
Toru Tsutsui
Jürgen Wolfart
 2
+ Theta functions on the bounded symmetric domain of typeI 2, 2 and the period map of a 4-parameter family of K3 surfaces 1993 Keiji Matsumoto
 2
+ PDF Chat Subvarieties of Shimura varieties 2003 Bas Edixhoven
Andrei Yafaev
 2
+ PDF Chat Fonctions hypergéométriques F1 et fonctions automorphes II. Groupes discontinus arithmétiquement définis 1985 Toshiaki Terada
 2
+ PDF Chat A variant of Jacobi type formula for Picard curves 2010 Keiji Matsumoto
Hironori Shiga
 2
+ Vorlesungen über die hypergeometrische Funktion: Gehalten an der Universität Göttingen im Wintersemester 1893/94 2013 Félix Klein
Ernst Ritter
Otto Haupt
 2
+ On K3 surfaces with large Picard number 1984 David R. Morrison
 2
+ On some examples of equations defining Shimura curves and the Mumford uniformization 1979 Akira Kurihara
 2
+ A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPE<i>K</i>3 1971 I. I Pjateckiĭ-Šapiro
I. R. Šafarevič
 2
+ PDF Chat Clifford Algebras and Families of Abelian Varieties 1966 Ichirō Satake
 2
+ PDF Chat An extended Gauss AGM and corresponding Picard modular forms 2008 Kenji Koike
Hironori Shiga
 2
+ Graded rings of Hermitian modular forms of degree 2 2003 Tobias Dern
Aloys Krieg
 2
+ PDF Chat Hypergeometric Abelian Varieties 2003 Natália Archinard
 2
+ PDF Chat Nikulin involutions on K3 surfaces 2006 Bert van Geemen
A. Sarti
 2
+ Ueber diejenigen Fälle, in welchen die Gaussische hypergeometrische Reihe eine algebraische Function ihres vierten Elementes darstellt. 1873 H. A. Schwarz
 2
+ Modular Forms and Projective Invariants 1967 Jun-ichi Igusa
 2
+ Über das verhalten der integrale 1. gattung bei automorphismen des funktionenkörpers 1934 Catherine Chevalley
André Weil
E. Hecke
 2
+ PDF Chat Shimura curves as intersections of Humbert surfaces and defining equations of {QM}-curves of genus two 1995 Kenji Hashimoto
Naoki Murabayashi
 2