Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems

Abstract

Part I. Summary of main results 231 1.The geometric situation giving rise to variation of Hodge structure.... 231 2. Data given by the variation of Hodge structure 232 3. Theorems about monodromy of homology 235 4. Theorems about Picard-Fuchs equations (Gauss-Manin connexion).... 237 5. Global theorems about holomorphic and locally constant cohomology classes 242 6. Global results on variation of Hodge structure 246 Part II.Problems and conjectures 247 7. Problems on Torelli-type theorems 247 8. Problems on local monodromy and variation of Hodge structure 248 9. Questions on compactification and the behavior of periods at infinity. .

Locations

• CiteSeer X (The Pennsylvania State University) - View - PDF
• Project Euclid (Cornell University) - View - PDF
• Bulletin of the American Mathematical Society - View - PDF