343 research outputs found

    Cohomology of the complement to an elliptic arrangement

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    We consider the complement to an arrangement of hyperplanes in a cartesian power of an elliptic curve and describe its cohomology with coefficients in a nontrivial rank one local system.Comment: AMSLaTeX, 12 page

    Difference Equations Compatible with Trigonometric KZ Differential Equations

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    The trigonometric KZ equations associated with a Lie algebra \g depend on a parameter \lambda\in\h where \h\subset\g is the Cartan subalgebra. We suggest a system of dynamical difference equations with respect to λ\lambda compatible with the KZ equations. The dynamical equations are constructed in terms of intertwining operators of \g-modules.Comment: 23 pages, AmsTeX, third version, some misprints were correcte
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