2012arXiv (Cornell University)Open access

Even-homogeneous supermanifolds on the complex projective line

Elizaveta Vishnyakova

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Abstract

The classification of even-homogeneous complex supermanifolds of dimension 1|m, m\leq 3, on CP^1 up to isomorphism is given. An explicit description of such supermanifolds in terms of local charts and coordinates is obtained.

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The classification of even-homogeneous complex supermanifolds of dimension 1|m, m\leq 3, on CP^1 up to isomorphism is given. An explicit description of such supermanifolds in terms of local charts and coordinates is obtained.

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Available abstract

The classification of even-homogeneous complex supermanifolds of dimension 1|m, m\leq 3, on CP^1 up to isomorphism is given. An explicit description of such supermanifolds in terms of local charts and coordinates is obtained.

Key concepts: Supermanifold, Homogeneous, Dimension (graph theory), Isomorphism (crystallography), Projective line, Homogeneous coordinates, Pure mathematics, Mathematics

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