Singularity of the varieties of representations of lattices in solvable Lie groups
2016 ◽
Vol 08
(02)
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pp. 273-285
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For a lattice [Formula: see text] of a simply connected solvable Lie group [Formula: see text], we describe the analytic germ in the variety of representations of [Formula: see text] at the trivial representation as an analytic germ which is linearly embedded in the analytic germ associated with the nilpotent Lie algebra determined by [Formula: see text]. By this description, under certain assumption, we study the singularity of the analytic germ in the variety of representations of [Formula: see text] at the trivial representation by using the Kuranishi space construction. By a similar technique, we also study deformations of holomorphic structures of trivial vector bundles over complex parallelizable solvmanifolds.
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1985 ◽
Vol 38
(1)
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pp. 55-64
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1988 ◽
Vol 45
(1)
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pp. 78-82
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1997 ◽
Vol 122
(2)
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pp. 245-250
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