A theta expression of the Hilbert modular functions for 5 via the periods of K3 surfaces

Atsuhira Nagano

Type: Article

Publication Date: 2013-01-01

Citations: 10

DOI: https://doi.org/10.1215/21562261-2366102

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Kyoto journal of mathematics - View
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
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Action	Title	Year	Authors
+	Modular map for the family of abelian surfaces via elliptic<i>K</i>3 surfaces	2014	Atsuhira Nagano Hironori Shiga
+	Inverse period mappings of K3 surfaces and a construction of modular forms for a lattice with the Kneser conditions	2020	Atsuhira Nagano
+ PDF Chat	Icosahedral invariants and a construction of class fields via periods of K3 surfaces	2017	Atsuhira Nagano
+	Mirror symmetry and K3 surfaces	2014	Kazushi Ueda
+	Monodromy of Picard–Fuchs system for a family of K3 toric hypersurfaces and fixed points of the Hilbert modular group for $$\mathbb {Q}(\sqrt{2})$$	2024	Toshimasa Ishige
+ PDF Chat	Double integrals on a weighted projective plane and Hilbert modular functions for Q(\sqrt 5)	2015	Atsuhira Nagano
+ PDF Chat	Geometric Interpretation of Hermitian Modular Forms via Burkhardt Invariants	2022	Atsuhira Nagano Hironori Shiga
+	Icosahedral invariants, CM points and class fields	2015	Atsuhira Nagano
+	Sequence of families of lattice polarized $K3$ surfaces, modular forms and degrees of complex reflection groups	2021	Atsuhira Nagano
+ PDF Chat	Icosahedral invariants and Shimura curves	2017	Atsuhira Nagano

Works Cited by This (11)

Action	Title	Year	Authors
+	Die Bestimmung der Funktionen zur Hilbertschen Modulgruppe des Zahlk�rpersQ ( $$\sqrt 5 $$ )	1963	Karl-Bernhard Gundlach
+ PDF Chat	Polygons and Hilbert modular groups	1989	Ryoichi Kobayashi Keiko Kushibiki Isao Naruki
+	On Compact Analytic Surfaces	2015	Kunihiko Kodaira
+ PDF Chat	Periods of integrals on algebraic manifolds, III (some global differential-geometric properties of the period mapping)	1970	Phillip Griffiths
+ PDF Chat	PERIOD DIFFERENTIAL EQUATIONS FOR THE FAMILIES OF K3 SURFACES WITH TWO PARAMETERS DERIVED FROM THE REFLEXIVE POLYTOPES	2012	Atsuhira Nagano
+	Uniformizing differential equations of several Hilbert modular orbifolds	1991	Takeshi Sato
+	Hilbertsche Modulformen und Modulfunktionen zu $$\mathbb{Q}(\sqrt 5 )$$	1985	Rolf M�ller
+	One attempt to the $K3$ modular function - II	1979	Hironori Shiga
+	On Compact Analytic Surfaces, III	1963	K. Kodaira
+	On Compact Analytic Surfaces, II-III	2015	K. Kodaira