トロピカル幾何と特異性に関する基本的トピックス (実閉体上の幾何と特異点論への応用)

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概要

• 論文の詳細を見る

著者

• 石川 剛郎

  北海道大学理学研究院数学部門

• 石川 剛郎

  北海道大学理学研究院数学教室

• 石川 剛郎

  北海道大学大学院理学研究院

関連論文

• PROBLEM SESSION : 8 March 1995(Geometric aspects of real singularities)
• 境界付きルジャンドル曲面の特異性幾何と射影双対 (微分方程式と微分幾何学への応用特異点論)
• Local classification of varieties in the symplectic space (The second Japanese-Australian Workshop on Real and Complex Singularities)
• A differentiable structure on a mapping space quotient and its application to the moduli problem(Singularities and o-minimal category)
• Extra singularities of geometric solutions to Monge-Ampere equations of three variables(Developments of Cartan Geometry and Related Mathematical Problems)
• Motivic integration in non-holonomic geometry (New methods and subjects in singularity theory)
• Tangentially degenerate fronts and their singularities : A survey (Several topics in singularity theory)
• Recent Results on Developable Submanifolds : Examples and Classifications (Lie Groups, Geometric Structures and Differential Equations : One Hundred Years after Sophus Lie)
• Several Questions on Singularities : Theories and Applications (Singularity Theory and its Applications)
• Developable hypersurfaces and algebraic homogeneous spaces in a real projective space (Homogeneous Structures and Theory of Submanifolds)
• Singularities of sub-Riemannian exponential mappings, conjugate loci (caustics), wave fronts, cut loci and Carnot-Caratheodory small-balls (Recent results by Agrachev, El-Alaoui, Gauthier, Ge and Kupka)
• Topology of plane trigonometric curves and a duality for strangeness of place curves derived from real pseudo-line arrangements
• シンプレクティック幾何における特異点論(実特異点の幾何学的様相)
• Maslov classes of Lagrange varieties and Legendre varieties(Microlocal Geometry)
• Basic problems on singularities of isotropic mappings(Real Singularities and Real Algebraic Geometry)
• Topics on Hilbert's 16th problem(Real Algebraic Geometry)
• Topics on Real Enumerative Geometry(Singularities of C$^\infty$ -maps and Contact Geometry)
• Topologically Extremal Real Surfaces in $\mathbb{P}^2 \times \mathbb{P}^1$ and $\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1$
• Topological Determinacy of Smooth Map-Germs(C$^\infty$ MAPPINGS AND RELATED TOPICS)
• $C^2$-安定写像について ($C^{\infty}$-写像と特異集合)
• トロピカル幾何と特異性に関する基本的トピックス (実閉体上の幾何と特異点論への応用)
• 写像の特異性の分類問題とその応用

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