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Complete Minimal Surfaces of Finite Total Curvature Book

Complete Minimal Surfaces of Finite Total Curvature
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Complete Minimal Surfaces of Finite Total Curvature, This monograph is based on the idea that the study of complete minimal surfaces in R3 of finite total curvature amounts to the study of linear series on algebraic curves. A detailed account of the Puncture Number Problem, which seeks to determine all poss, Complete Minimal Surfaces of Finite Total Curvature
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  • Complete Minimal Surfaces of Finite Total Curvature
  • Written by author Kichoon Yang
  • Published by Springer-Verlag New York, LLC, 12/6/2010
  • This monograph is based on the idea that the study of complete minimal surfaces in R3 of finite total curvature amounts to the study of linear series on algebraic curves. A detailed account of the Puncture Number Problem, which seeks to determine all poss
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Preface. 1: Background Material. 1.1. Simplicial Homology. 1.2. Complex Algebraic Varieties. 1.3. Compact Riemann Surfaces. 1.4. The Brill-Noether Theorem. 2: Minimal Surfaces: General Theory. 2.1. Intrinsic Surface Theory. 2.2. The Method of Moving Frames. 2.3. The Gauss Map and the Weierstrass Representation. 2.4. The Chern-Osserman Theorem. 2.5. Examples. 2.6. Bernstein Type Theorems. 2.7. Stability of Complete Minimal Surfaces. 3: Minimal Surfaces with Finite Total Curvature. 3.1. The Puncture Number Problem. 3.2. Moduli Space of Algebraic Minimal Surfaces. Bibliography. Index.


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Complete Minimal Surfaces of Finite Total Curvature, This monograph is based on the idea that the study of complete minimal surfaces in R3 of finite total curvature amounts to the study of linear series on algebraic curves. A detailed account of the Puncture Number Problem, which seeks to determine all poss, Complete Minimal Surfaces of Finite Total Curvature

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Complete Minimal Surfaces of Finite Total Curvature, This monograph is based on the idea that the study of complete minimal surfaces in R3 of finite total curvature amounts to the study of linear series on algebraic curves. A detailed account of the Puncture Number Problem, which seeks to determine all poss, Complete Minimal Surfaces of Finite Total Curvature

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Complete Minimal Surfaces of Finite Total Curvature, This monograph is based on the idea that the study of complete minimal surfaces in R3 of finite total curvature amounts to the study of linear series on algebraic curves. A detailed account of the Puncture Number Problem, which seeks to determine all poss, Complete Minimal Surfaces of Finite Total Curvature

Complete Minimal Surfaces of Finite Total Curvature

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