Monodromy zeta-function of a polynomial on a complete intersection, and Newton polyhedra
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G. G. Gusev
Translated by: the author - St. Petersburg Math. J. 23 (2012), 511-519
- DOI: https://doi.org/10.1090/S1061-0022-2012-01205-7
- Published electronically: March 2, 2012
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Abstract:
For a generic (polynomial) one-parameter deformation of a complete intersection, its monodromy zeta-function is defined. Explicit formulas for this zeta-function in terms of the corresponding Newton polyhedra are obtained in the case where the deformation is nondegenerate with respect to its Newton polyhedra. This result is employed to obtain a formula for the monodromy zeta-function at the origin of a polynomial on a complete intersection, which is an analog of the Libgober–Sperber theorem.References
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Bibliographic Information
- G. G. Gusev
- Affiliation: Moscow Institute of Physics and Technology, Independent University of Moscow, Russia
- Email: gusev@mccme.ru
- Received by editor(s): September 23, 2009
- Published electronically: March 2, 2012
- Additional Notes: Partially supported by the grants RFBR-10-01-00678, RFBR-08-01-00110-a, RFBR and SU HSE 09-01-12185-off-m, and NOSH-8462.2010.1.
- © Copyright 2012 American Mathematical Society
- Journal: St. Petersburg Math. J. 23 (2012), 511-519
- MSC (2010): Primary 14Q15, 14D05; Secondary 58K15, 58K10, 32S20
- DOI: https://doi.org/10.1090/S1061-0022-2012-01205-7
- MathSciNet review: 2896166