Strata of discriminantal arrangements
نویسندگان
چکیده
منابع مشابه
Discriminantal Arrangements, Fiber Polytopes and Formality
Manin and Schechtman defined the discriminantal arrangement of a generic hyperplane arrangement as a generalization of the braid arrangement. This paper shows their construction is dual to the fiber zonotope construction of Billera and Sturmfels, and thus makes sense even when the base arrangement is not generic. The hyperplanes, face lattices and intersection lattices of discriminantal arrange...
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We relate the cohomology of the Orlik-Solomon algebra of a discriminantal arrangement to the local system cohomology of the complement. The Orlik-Solomon algebra of such an arrangement (viewed as a complex) is shown to be a linear approximation of a complex arising from the fundamental group of the complement, the cohomology of which is isomorphic to that of the complement with coefficients in ...
متن کاملMATHEMATICAL ENGINEERING TECHNICAL REPORTS On Computation of the Characteristic Polynomials of the Discriminantal Arrangements and the Arrangements Generated by Generic Points
The METR technical reports are published as a means to ensure timely dissemination of scholarly and technical work on a non-commercial basis. Copyright and all rights therein are maintained by the authors or by other copyright holders, notwithstanding that they have offered their works here electronically. It is understood that all persons copying this information will adhere to the terms and c...
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We assume there is a slight difference in the average value of the gene expression for a group of genes between two strata/time periods. There is no prior knowledge on which genes where the gene expression differs between the two strata. We test out the power of a large number of test statistics in order to identify whether the observed difference between the averages is significant. Secondly, ...
متن کاملOn Horn-Kapranov uniformisation of the discriminantal loci
In this note we give a rational uniformisation equation of the discriminant loci associated to a non-degenerate affine complete intersection variety. To show this formula we establish a relation of the fibre-integral with the hypergeometric function of Horn and that of Gel’fand-Kapranov-Zelevinski. 0 Introduction In this note we give a concrete rational uniformisation equation for the discrimin...
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ژورنال
عنوان ژورنال: Journal of Singularitiesl
سال: 2018
ISSN: 1949-2006
DOI: 10.5427/jsing.2018.18w