Periods of integrals on algebraic manifolds, III (Some global differential-geometric properties of the period mapping)

1970/01/07 by Phillip Griffiths, Phillip A. Griffiths · 159 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic number #Differential (mechanical device) #Mathematical analysis #Mathematics #Period (music) #Physics #Pure mathematics

paper · pdf · doi:10.1007/bf02684654

published in Publications Mathématiques de l'IHÉS 38, 125-180 (MathDoc/Centre Mersenne)

crossref issued 1970/01/07 · crossref published 1970/01/07 · crossref published-online 1970/01/07 · openalex publication_date 1970/01/07 · crossref created 2007/08/16 · openalex created_date 2025/10/10 · crossref deposited 2026/02/17 · openalex updated_date 2026/07/23 · crossref indexed 2026/08/05

Citations

• Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I
• On the de Rham cohomology of algebraic varieties
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
• Arithmetic Subgroups of Algebraic Groups
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)
• Characteristic Classes of Hermitian Manifolds

Cited by

• On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic, II
• Curvature and relative volume forms
• Hodge structure [wikipedia]