Work

On plane Cremona transformations of fixed degree

Year: 2012

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1212.0996

Authors: Bisi, Cinzia, Calabri, Alberto, Mella, Massimiliano

Institution: University of Ferrara

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2950947393

Cites: 16

Cited by:

Related to: 20