Effective Bezout identities in Q[z1, ..., zn]
نویسندگان
چکیده
منابع مشابه
Extended Bezout Identities
! $# , where # is the identity matrix. However, only two different types of primeness, ZLP and MLP, have been defined in [13], which correspond to the case % and a polynomial containing &(' % variables . To my knowledge, nothing has been done for the other cases until the work of Oberst [6], surely because the complexity of the matrices increases with the number & . The main contribution of [6]...
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In this paper we consider the following analog of Bezout inequality for mixed volumes: V (P1, . . . , Pr,∆ )Vn(∆) r−1 ≤ r ∏ i=1 V (Pi,∆ ) for 2 ≤ r ≤ n. We show that the above inequality is true when ∆ is an n -dimensional simplex and P1, . . . , Pr are convex bodies in R . We conjecture that if the above inequality is true for all convex bodies P1, . . . , Pr , then ∆ must be an n -dimensional...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1991
ISSN: 0001-5962
DOI: 10.1007/bf02398884