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            Schechtman, Vadim; Varchenko, Alexander (, Journal of Singularities)null (Ed.)
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            Schechtman, Vadim; Varchenko, Alexander (, Moscow mathematical journal)We construct a monomorphism of the De Rham complex of scalar multivalued meromorphic forms on the projective line, holomorphic on the complement to a finite set of points, to the chain complex of the Lie algebra of sl_2-valued algebraic functions on the same complement with coefficients in a tensor product of contragradient Verma modules over the affine Lie algebra \hat{sl}_2. We show that the existence of singular vectors in the Verma modules (the Malikov-Feigin-Fuchs singular vectors) is reflected in the new relations between the cohomology classes of logarithmic differential forms.more » « less
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            Brillon, Laura; Ramazashvili, Revaz; Schechtman, Vadim; Varchenko, Alexander (, Arnold Mathematical Journal)
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