We study the quasi-projective variety Bird of plane Cremona transformations defined by three polynomials of fixed degree d and its subvariety Bir◦d where the three polynomials have no common factor. We compute their dimension and the decomposition in irreducible components. We prove that Bird is connected for each d and Bir◦d is connected when d <7.
On Plane Cremona Transformations of fixed degree
BISI, Cinzia
;CALABRI, Alberto;MELLA, Massimiliano
2015
Abstract
We study the quasi-projective variety Bird of plane Cremona transformations defined by three polynomials of fixed degree d and its subvariety Bir◦d where the three polynomials have no common factor. We compute their dimension and the decomposition in irreducible components. We prove that Bird is connected for each d and Bir◦d is connected when d <7.File in questo prodotto:
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