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The Modulus of Holomorphic Annulus

Title
The Modulus of Holomorphic Annulus
Authors
최은영
Issue Date
2000
Department/Major
대학원 수학과
Keywords
ModulusHolomorphicAnnulus수학
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
In this thesis, we introduce the J-holomorphic map from a Riemann surface to a complex manifold. We investigate the deformation of J-holomorphic curves. When the deformation of J-holomorphic curves degenerates, me calculate the modulus of holomorphic annulus. Finally, we study the compactness of the space of J-holomorphic curves.;이 논문에서는 Riemann surface에서 complex manifold로 가는 J-holomorphic map을 정의하고, J-holomorphic curve의 deformation에 대해 연구한다. 이 과정에서 나타나는 J-holomorphic annulus의 modulus를 계산하고, moduli space의 compactness를 공부한다.
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일반대학원 > 수학과 > Theses_Master
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