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Monodromies and poincaré series of quasihomogeneous complete intersections

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Abstract

We give a formula connecting the Saito duals of the reduced zeta functions of the monodromies of defining equations of a quasihomogeneous complete intersection, the Poincaré series of its coordinate ring, and orbit invariants with respect to the natural ℂ*-action.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Hannover, Post-fach 6009, D-30060, Hannover, Germany

    W. Ebeling

  2. Faculty of Mechanics and Mathematics, Moscow State University, 119992, Moscow, Russia

    S. M. Gusein-Zade

Authors
  1. W. Ebeling
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  2. S. M. Gusein-Zade
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Corresponding authors

Correspondence to W. Ebeling or S. M. Gusein-Zade.

Additional information

O. Riemenschneider

The authors were partially supported by the DFG-programme ”Global methods in complex geometry” (Eb 102/4-2), grants RFBR-04-01-00762, INTAS-00-259, NWO-RFBR-047.008.005.

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Ebeling, W., Gusein-Zade, S.M. Monodromies and poincaré series of quasihomogeneous complete intersections. Abh.Math.Semin.Univ.Hambg. 74, 175–179 (2004). https://doi.org/10.1007/BF02941533

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  • DOI: https://doi.org/10.1007/BF02941533

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