On the Torsion of Brieskorn Modules of Homogeneous Polynomials

Khurram Shabbir

Rendiconti del Seminario Matematico della Università di Padova (2008)

  • Volume: 120, page 147-156
  • ISSN: 0041-8994

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Shabbir, Khurram. "On the Torsion of Brieskorn Modules of Homogeneous Polynomials." Rendiconti del Seminario Matematico della Università di Padova 120 (2008): 147-156. <http://eudml.org/doc/108739>.

@article{Shabbir2008,
author = {Shabbir, Khurram},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Brieskorn module; hypersurface singularity},
language = {eng},
pages = {147-156},
publisher = {Seminario Matematico of the University of Padua},
title = {On the Torsion of Brieskorn Modules of Homogeneous Polynomials},
url = {http://eudml.org/doc/108739},
volume = {120},
year = {2008},
}

TY - JOUR
AU - Shabbir, Khurram
TI - On the Torsion of Brieskorn Modules of Homogeneous Polynomials
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2008
PB - Seminario Matematico of the University of Padua
VL - 120
SP - 147
EP - 156
LA - eng
KW - Brieskorn module; hypersurface singularity
UR - http://eudml.org/doc/108739
ER -

References

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  1. [1] D. BARLET - M. SAITO, Brieskorn modules and Gauss-Manin systems for non isolated hypersurface singularities, preprint (math.CV/0411406). Zbl1169.32004MR2351618
  2. [2] PH. BONNET - A. DIMCA, Relative differential forms and complex polynomials, Bull. Sci. Math., 124 (2000), pp. 557-571. Zbl0980.32007MR1793909
  3. [3] E. BRIESKORN, Die Monodromie der isolierten Singularitäten von Hyperflächen, Manuscripta Math., 2 (1970), pp. 103-161. Zbl0186.26101MR267607
  4. [4] A. DIMCA, On the Milnor fibrations of weighted homogeneous polynomials, Composito Math., 76 (1990), pp. 19-47. Zbl0726.14002MR1078856
  5. [5] A. DIMCA, Singularities and Topology of Hypersurfaces, Universitext, Springer-Verlag, 1992. Zbl0753.57001MR1194180
  6. [6] A. DIMCA - M. SAITO, Algebraic Gauss-Manin systems and Brieskorn modukles, Amer. J. Math., 123 (2001), pp. 163-184. Zbl0990.14004MR1827281
  7. [7] A. DIMCA - M. SAITO, A generalization of Griffiths's Theorem on rational integrals, Duke Math. J., 135 (2006), pp. 303-326. Zbl1117.14012MR2267285
  8. [8] A. DIMCA - L. PAUNESCU, On the connectivity of complex affine hypersurfaces, II, Topology, 39 (2000), pp. 1035-1043. Zbl0983.32031MR1763962
  9. [9] D. EISENBUD, Commutative Algebra with a View Towards Algebraic Geometry, Springer-Verlag New York, 1995. Zbl0819.13001MR1322960
  10. [10] A. HATCHER, Algebraic Topology, Cambridge Univ. Press, 2002. Zbl1044.55001MR1867354
  11. [11] E. LOOIJENGA, Isolated singular points on Complete Intersections, Cambridge Univ. Press 1984. Zbl0552.14002MR747303
  12. [12] A. NÉMETHI - C. SABBAH, Semicontinuity of the spectrum at infinity, Abh. Math. Sem. Univ. Hamburg, 69 (1999), pp. 25-35. Zbl0973.32014MR1722919
  13. [13] C. SABBAH, Hypergeometric periods for a tame polynomial, C.R. Acad. Sci. Paris, 328 (1999), pp. 603-608. Zbl0967.32028MR1679978

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