The Journal of the Indian Mathematical Society

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Cremona Transformation With A Conic of Fixed Points


     

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Deehlemann and Castelnuovol have considerad the snbjeet of Cremona transformations with a curve of fixed points. Doehlemann has shown that if T of order n has a curve of fixed points of order μi, then n≥(3 μ - 1)/2 and Castelnuovo proves that if T has an irreducible curve of fixed points'of genus p > I, then either T is periodic and of pniod 2. 3 or 4 or T is the transform of a Jonquiere's type.
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  • Cremona Transformation With A Conic of Fixed Points

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Deehlemann and Castelnuovol have considerad the snbjeet of Cremona transformations with a curve of fixed points. Doehlemann has shown that if T of order n has a curve of fixed points of order μi, then n≥(3 μ - 1)/2 and Castelnuovo proves that if T has an irreducible curve of fixed points'of genus p > I, then either T is periodic and of pniod 2. 3 or 4 or T is the transform of a Jonquiere's type.