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arXiv:1212.0996 [math.AG]AbstractReferencesReviewsResources

On plane Cremona transformations of fixed degree

Cinzia Bisi, Alberto Calabri, Massimiliano Mella

Published 2012-12-05, updated 2013-08-19Version 2

We study the quasi-projective variety Bir_d of plane Cremona transformations defined by three polynomials of fixed degree d and its subvariety Bir_d^o where the three polynomials have no common factor. We compute their dimension and the decomposition in irreducible components. We prove that Bir_d is connected for each d and Bir_d^o is connected when d < 7.

Comments: 18 pages, removed section 3, corrected a mistake and some typos, accepted for publication on the Journal of Geometric Analysis
Categories: math.AG, math.CV
Subjects: 14E07
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