DIAGONAL FORMS AND THE RATIONALITY OF THE POINCARÉ SERIES

The Poincaré series, Py(f) of a polynomial f was first introduced by Borevich and Shafarevich in [BS66], where they conjectured, that the series is always rational. Denef and Igusa independently proved this conjecture. However it is still of interest to explicitly compute the Poincaré series in spec...

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Bibliographic Details
Main Author: Deb, Dibyajyoti
Format: Others
Published: UKnowledge 2010
Subjects:
Online Access:http://uknowledge.uky.edu/gradschool_diss/25
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1024&context=gradschool_diss