The deformation theory of representations of fundamental groups of compact Kähler manifolds
نویسندگان
چکیده
where B : E x E —• E' is a bilinear map and E' is a vector space. (E may be identified with the Zariski tangent space to Q at 0.) Let V be an algebraic variety and x € V be a point. We say that V is quadratic at x if the analytic germ of V at x is equivalent to the germ of a quadratic cone at 0. Let T be a finitely generated group and G a k-algebraic group. We identify G with its set of k-points, which has the natural structure of a Lie group over k. Then the set Hom(r, G) of all homomorphisms r —• G equals the set of k-points of a k-algebraic variety 9t(r,G) (compare [9, 10]).
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