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On Bernstein-Sato polynomials |
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| Authors: | Gennady Lyubeznik |
| Affiliation: | Department of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455 |
| Abstract: | We show that for fixed  and  the set of Bernstein-Sato polynomials of all the polynomials in at most  variables of degrees at most  is finite. As a corollary, we show that there exists an integer  depending only on  and  such that  generates  as a module over the ring of the  -linear differential operators of  , where  is an arbitrary field of characteristic 0,  is the ring of polynomials in  variables over  and  is an arbitrary non-zero polynomial of degree at most  . |
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