On birational involutions of \mathbb P³

2012/06/30 by Yuri Prokhorov, Yuri G Prokhorov · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Algebraic group #Algebraic number #Component (thermodynamics) #Element (criminal law) #Equivariant map #Nonlinear Waves and Solitons #Order (exchange) #Point (geometry) #Polynomial and algebraic computation #Variety (cybernetics) #math.AG #msc:14E07

paper · pdf · doi:10.1070/im2013v077n03abeh002652

published as Izvestiya Math. Russian Acad. Sci., 2013, 77, 627-648 · 24 pages, latex

arxiv created 2012/10/02 · openalex publication_date 2013/06/24 · arxiv updated 2016/01/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Let X be a rationally connected three-dimensional algebraic variety and let τ be an element of order two in the group of its birational selfmaps. Suppose that there exists a non-uniruled divisorial component of the τ-fixed point locus. Using the equivariant minimal model program we give a rough classification of such elements.

Citations

• Birational Geometry of Algebraic Varieties
• Finite Subgroups of the Plane Cremona Group
• Gorenstein Fano threefolds with base points in the anticanonical system
• Existence of minimal models for varieties of log general type
• The Intermediate Jacobian of the Cubic Threefold

Cited by

• 2-Elementary Subgroups of the Space Cremona Group