Linear codes associated to determinantal varieties
نویسندگان
چکیده
منابع مشابه
Linear codes associated to determinantal varieties
We consider a class of linear codes associated to projective algebraic varieties defined by the vanishing of minors of a fixed size of a generic matrix. It is seen that the resulting code has only a small number of distinct weights. The case of varieties defined by the vanishing of 2× 2 minors is considered in some detail. Here we obtain the complete weight distribution. Moreover, several gener...
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A family of linear \Algebraic{Geometric" codes is constructed from line bundles on Schubert varieties and analyzed using techniques from Representation Theory. AMS(MOS) 1991 Subject Classi cation (Primary) 94B27 (Secondary) 14M99, 20G10. Research partially supported by the US Air Force O ce of Scienti c Research. Research partially supported by the Isaac Newton Institute for Mathematical Scienc...
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In this paper, a new kind of resultant, called the determinantal resultant, is introduced. This operator computes the projection of a determinantal variety under suitable hypothesis. As a direct generalization of the resultant of a very ample vector bundle [GKZ94], it corresponds to a necessary and sufficient condition so that a given morphism between two vector bundles on a projective variety ...
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We introduce certain quiver analogue of the determinantal variety. We study the Kempf-Lascoux-Weyman’s complex associated to a line bundle on the variety. In the case of generalized Kronecker quivers, we give a sufficient condition on when the complex resolves a maximal Cohen-Macaulay module supported on the quiver determinantal variety. This allows us to find the set-theoretical defining equat...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2015
ISSN: 0012-365X
DOI: 10.1016/j.disc.2015.03.009