Linear differential equations modeled after hyperquadrics

DOI10.2748/tmj/1178227829zbMath0661.35014OpenAlexW2028075004MaRDI QIDQ1113003

Takeshi Sasaki, Masaaki Yoshida

Publication date: 1989

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227829

zbMATH Keywords

parameter spaceregular orbitsSiegel modular groupholonomic systemscomplex manifoldholomorphic mappingprojective differential geometryGauss-Manin connectionsSiegel upper half spaceconformal connectionuniformizing equationcubic invariant formcurves of genus 2degree 2developing maps of orbifoldsholomorphic conformal structurelevel 2periods of curvesuniformizing differential equations of orbifolds

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Complex manifolds (32Q99) Linear higher-order PDEs (35G05) Holomorphic functions of several complex variables (32A10)

Related Items (5)

Linear differential equations in two variables of rank four. II. The uniformizing equation of a Hilbert modular orbifold ⋮ The flat holomorphic conformal structure on the Horrocks-Mumford orbifold ⋮ Extrinsic geometry and linear differential equations ⋮ Invariant theory for linear differential systems modeled after the grassmannian Gr(n, 2n) ⋮ The period map of a 4-parameter family of K3 surfaces and the Aomoto- Gel'fand hypergeometric function of type (3,6)

Cites Work

• Linear differential equations in two variables of rank four. I
• Linear differential equations in two variables of rank four. II. The uniformizing equation of a Hilbert modular orbifold
• On conformally-flat spaces in the large
• On Siegel Modular Forms of Genus Two
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