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Introduction to Teichmu¨ller Theory - UC Davis

Introduction to Teichmu¨ller Theory - UC Davis

www.math.ucdavis.edu

12 Teichm ̈uller theory from the Kodaira-Spencer point of view. Definition (Kodaira- Spencer): A holomorphic family is a complex manifold V = V m+1 and a holomorphic map π : V → M = Mm where Mm is a complex manifold and all preimages π−1(t) are Riemann surfaces (t M). In our case, M = Φ(T (X)) ⊂ Q(X) and ∈.

  Introduction, Theory, Llers, Teichmu, Introduction to teichmu, 168 ller theory

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