Slicing, skinning, and grafting
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We prove that a Bers slice is never algebraic, meaning that its Zariski closure in the character variety has strictly larger dimension. A corollary is that skinning maps are never constant.
The proof uses grafting and the theory of complex projective structures.
11 pages, 1 figure, to appear in American Journal of Mathematics
11 pages, 1 figure, to appear in American Journal of Mathematics