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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Given a compact domain of a 3-dimensional hypersurface on a vacuum spacetime, a scalar (the “non-Kerrness”) is constructed by solving a Dirichlet problem for a second order elliptic system. If such scalar vanishes, and a set of conditions are satisfied at a point, then the domain of dependence of the compact domain is isometric to a portion of a member of the Kerr family of solutions to the Ein...
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First, recall how Bezout’s Theorem can be made more precise by specifying the meaning of the word “generically” used above, using elementary scheme-theoretic language ([H, II]). Fix an algebraically closed field k. There is little loss in assuming k = C (until Section 3). Since we work over an algebraically closed field, we often identify reduced algebraic sets with their k-valued points. In th...
متن کاملBezout Inequality for Mixed Volumes
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...
متن کاملDedekind completion as a method for constructing new Scott domains
Many operations exist for constructing Scott-domains. This paper presents Dedekind completion as a new operation for constructing such domains and outlines an application of the operation. Dedekind complete Scott domains are of particular interest when modeling versions of λ-calculus that allow quantification over sets of arbitrary cardinality. Hence, it is of interest when constructing models ...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1976
ISSN: 0035-7596
DOI: 10.1216/rmj-1976-6-3-383