Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-05T06:37:35.939Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Pole Order and Hodge Filtrations of Isolated Hypersurface Singularities

Published online by Cambridge University Press:  20 November 2018

John Scherk
John Scherk*
Affiliation:
Department of Mathematics University of Toronto Toronto, Ontario M5S IAI, e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Unlike for a smooth projective hypersurface, for an isolated hypersurface singularity, the pole order and Hodge filtrations do not in general coincide. This note studies the difference between the two.

Keywords

3214
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 3 , 01 September 1993 , pp. 368 - 372
Copyright
Copyright © Canadian Mathematical Society 1993

References

[AGV] Arnol'd, V. I., Gusein-Zade, S. M. and Varchenko, A. N., Singularities of differentiable maps, vol. II, Boston-Basel-Stuttgart, Birkhauser, 1985.Google Scholar
[Dimca, D. A., Differential forms and hypersurface singularities, preprint.Google Scholar
[Gr] Griffiths, P., On the periods of certain rational integrals, I, II, Ann. of Math. 90(1960), 460–541.Google Scholar
[Grothendieck, G. A., On the DeRham cohomology of algebraic varieties, Publ. Math. I.H.E.S. 29(1966), 95– 103.Google Scholar
[K] Karpishpan, Y., Pole order filtration on the cohomology of algebraic links, Compositio Math. 78(1991), 213–226.Google Scholar
[P] Pham, F., Singularités des systèmes différentiels de Gauss-Manin, Progress in Mathematics 2, Boston, Birkhauser 1979.Google Scholar
[Sch-St] J. Scherk and Steenbrink, J., On the mixed Hodge structure on the cohomology of the Milnor fibre, Math. Annalen 271(1985), 641–665.Google Scholar
[St] Steenbrink, J., Mixed Hodge Structures and Singularities, to appear.Google Scholar